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Teleparallel Gravity offers the possibility of reformulating gravity in terms of torsion by exchanging the Levi-Civita connection with the Weitzenb\"ock connection which describes torsion rather than curvature.
‘Invariantentheorie’
R. Weitzenböock · 1923
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Relativity, Thermodynamics, and Cosmology
R.C. Tolman · 1934
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The Einstein tensor and its generalizations
D. Lovelock · 1971
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Gravitation
C.W. Misner, K.S. Thorne, and J.A. Wheeler · 1973
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General relativity with spin and torsion: Foundations and prospects
Friedrich W. Hehl, Paul von der Heyde, G. David Kerlick, and James M. Nester · 1976
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On a nonsingular isotropic cosmological model
A. A. Starobinskii · 1978
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Spectrum of relict gravitational radiation and the early state of the universe
A. A. Starobinskii · 1979
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New General Relativity
Kenji Hayashi and Takeshi Shirafuji · 1979
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A new type of isotropic cosmological models without singularity
A.A. Starobinsky · 1980
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Can the Effective Gravitational Constant Become Negative
A. A. Starobinskii · 1981
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The Ekpyrotic universe: Colliding branes and the origin of the hot big bang
Justin Khoury, Burt A. Ovrut, Paul J. Steinhardt, and Neil Turok · 2001
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Axial vector torsion and the teleparallel Kerr space-time
J. G. Pereira, T. Vargas, and C. M. Zhang · 2001
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From big crunch to big bang
Justin Khoury, Burt A. Ovrut, Nathan Seiberg, Paul J. Steinhardt, and Neil Turok · 2002
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Cosmic evolution in a cyclic universe
Paul J. Steinhardt and Neil Turok · 2002
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Bouncing and cyclic universes from brane models
Sudipta Mukherji and Marco Peloso · 2002
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Geometry, Topology and Physics, Second Edition
M. Nakahara · 2003
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Phantom energy and cosmic doomsday
Robert R. Caldwell, Marc Kamionkowski, and Nevin N. Weinberg · 2003
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You need not be afraid of phantom energy
Pedro F. Gonzalez-Diaz · 2003
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Gravity and Strings
T. Ortín · 2004
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Spin and anholonomy in general relativity
R. Aldrovandi, P. B. Barros, and J. G. Pereira · 2004
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Quantum escape of sudden future singularity
Shin’ichi Nojiri and Sergei D. Odintsov · 2004
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The Final state and thermodynamics of dark energy universe
Shin’ichi Nojiri and Sergei D. Odintsov · 2004
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Late-time cosmology in (phantom) scalar-tensor theory: Dark energy and the cosmic speed-up
Emilio Elizalde, Shin’ichi Nojiri, and Sergei D. Odintsov · 2004
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Sudden future singularities
John D. Barrow · 2004
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More general sudden singularities
John D. Barrow · 2004
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Geodesic behaviour of sudden future singularities
L. Fernandez-Jambrina and Ruth Lazkoz · 2004
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Physical Foundations of Cosmology
V. Mukhanov · 2005
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Reconciling dark energy models with f(R) theories
S. Capozziello, Vincenzo F. Cardone, and A. Troisi · 2005
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Necessary and sufficient conditions for big bangs, bounces, crunches, rips, sudden singularities, and extremality events
Celine Cattoen and Matt Visser · 2005
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Properties of singularities in (phantom) dark energy universe
Shin’ichi Nojiri, Sergei D. Odintsov, and Shinji Tsujikawa · 2005
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Escaping the big rip?
Mariam Bouhmadi-Lopez and Jose A. Jimenez Madrid · 2005
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Expansion around the vacuum equation of state - Sudden future singularities and asymptotic behavior
Hrvoje Stefancic · 2005
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Quantum nature of the big bang
Abhay Ashtekar, Tomasz Pawlowski, and Parampreet Singh · 2006
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Bouncing universes in string-inspired gravity
Tirthabir Biswas, Anupam Mazumdar, and Warren Siegel · 2006
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Quantum Nature of the Big Bang: Improved dynamics
Abhay Ashtekar, Tomasz Pawlowski, and Parampreet Singh · 2006
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Quantum Nature of the Big Bang: An Analytical and Numerical Investigation. I
Abhay Ashtekar, Tomasz Pawlowski, and Parampreet Singh · 2006
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Modified f(R) gravity consistent with realistic cosmology: From matter dominated epoch to dark energy universe
Shin’ichi Nojiri and Sergei D. Odintsov · 2006
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A f(R) gravity without cosmological constant
Alvaro de la Cruz-Dombriz and Antonio Dobado · 2006
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Non-singular bouncing universes in loop quantum cosmology
Parampreet Singh, Kevin Vandersloot, and G. V. Vereshchagin · 2006
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New Ekpyrotic cosmology
Evgeny I. Buchbinder, Justin Khoury, and Burt A. Ovrut · 2007
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Modified teleparallel gravity: Inflation without inflaton
Rafael Ferraro and Franco Fiorini · 2007
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Bouncing universe with quintom matter
Yi-Fu Cai, Taotao Qiu, Yun-Song Piao, Mingzhe Li, and Xinmin Zhang · 2007
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Modified gravity and its reconstruction from the universe expansion history
Shin’ichi Nojiri and Sergei D. Odintsov · 2007
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Bouncing Cosmologies
M. Novello and S. E. Perez Bergliaffa · 2008
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On Born-Infeld Gravity in Weitzenbock spacetime
Rafael Ferraro and Franco Fiorini · 2008
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Astronomical bounds on future big freeze singularity
Artyom V. Yurov, Artyom V. Astashenok, and Pedro F. Gonzalez-Diaz · 2008
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Matter Bounce in Horava-Lifshitz Cosmology
Robert Brandenberger · 2009
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Bouncing Cosmologies in Palatini f(R) Gravity
Carlos Barragan, Gonzalo J. Olmo, and Helios Sanchis-Alepuz · 2009
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Dark torsion as the cosmic speed-up
Gabriel R. Bengochea and Rafael Ferraro · 2009
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Non-Gaussianity in a Matter Bounce
Yi-Fu Cai, Wei Xue, Robert Brandenberger, and Xinmin Zhang · 2009
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f(R) Theories Of Gravity
Thomas P. Sotiriou and Valerio Faraoni · 2010
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Einstein’s Other Gravity and the Acceleration of the Universe
Eric V. Linder · 2010
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The dynamical behavior of f ( T ) f(T) theory
Puxun Wu and Hong Wei Yu · 2010
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Finite-time future singularities in modified Gauss-Bonnet and F ( R , G ) F(R,G) gravity and singularity avoidance
Kazuharu Bamba, Sergei D. Odintsov, Lorenzo Sebastiani, and Sergio Zerbini · 2010
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Extended Theories of Gravity
Salvatore Capozziello and Mariafelicia De Laurentis · 2011
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Inflationary cosmology in modified gravity theories
Kazuharu Bamba and Sergei D. Odintsov · 2015
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Bouncing Universes in Scalar-Tensor Gravity Models admitting Negative Potentials
B. Boisseau, H. Giacomini, D. Polarski, and A.A. Starobinsky · 2015
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Superbounce and Loop Quantum Cosmology Ekpyrosis from Modified Gravity
V. K. Oikonomou · 2015
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Teleparallel Equivalent of Lovelock Gravity
P. A. Gonzalez and Yerko Vasquez · 2015
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Weak-Field Spherically Symmetric Solutions in f ( T ) f(T) gravity
Matteo Luca Ruggiero and Ninfa Radicella · 2015
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Modified teleparallel theories of gravity
Sebastian Bahamonde, Christian G. Böhmer, and Matthew Wright · 2015
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Cosmological perturbations in f(T) gravity
Shih-Hung Chen, James B. Dent, Sourish Dutta, and Emmanuel N. Saridakis · 2011
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Spherically symmetric static spacetimes in vacuum f(T) gravity
Rafael Ferraro and Franco Fiorini · 2011
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Accelerating universe from F ( T ) F(T) gravity
Ratbay Myrzakulov · 2011
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Notes on f ( T ) f(T) Theories
Yi Zhang, Hui Li, Yungui Gong, and Zong-Hong Zhu · 2011
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Matter Bounce Cosmology with the f(T) Gravity
Yi-Fu Cai, Shih-Hung Chen, James B. Dent, Sourish Dutta, and Emmanuel N. Saridakis · 2011
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The Little Rip
Paul H. Frampton, Kevin J. Ludwick, and Robert J. Scherrer · 2011
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Singular inflation from generalized equation of state fluids
S. Nojiri, S. D. Odintsov, and V. K. Oikonomou · 2015
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Inflation in exponential scalar model and finite-time singularity induced instability
S. D. Odintsov and V. K. Oikonomou · 2015
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Singular Bouncing Cosmology from Gauss-Bonnet Modified Gravity
V. K. Oikonomou · 2015
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Bouncing cosmology with future singularity from modified gravity
S. D. Odintsov and V. K. Oikonomou · 2015
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Bounce universe history from unimodular F ( R ) F(R) gravity
S. Nojiri, S. D. Odintsov, and V. K. Oikonomou · 2016
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f(T) teleparallel gravity and cosmology
Yi-Fu Cai, Salvatore Capozziello, Mariafelicia De Laurentis, and Emmanuel N. Saridakis · 2016
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Stability of the flat FLRW metric in f ( T ) f(T) gravity
Gabriel Farrugia and Jackson Levi Said · 2016
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Solar System tests in f ( T ) f(T) gravity
Gabriel Farrugia, Jackson Levi Said, and Matteo Luca Ruggiero · 2016
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Bounce inflation in f ( T ) f(T) Cosmology: A unified inflaton-quintessence field
Kazuharu Bamba, G. G. L. Nashed, W. El Hanafy, and Sh. K. Ibraheem · 2016
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The covariant formulation of f(T) gravity
Martin Krššák and Emmanuel N. Saridakis · 2016
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Conformal transformations in modified teleparallel theories of gravity revisited
Matthew Wright · 2016
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Dynamical stability of extended teleparallel gravity
Petr V. Tretyakov · 2016
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Linear growth in power law f ( T ) f(T) gravity
Spyros Basilakos · 2016
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Inflationary cosmology with Chaplygin gas in Palatini formalism
Andrzej Borowiec, Aleksander Stachowski, Marek Szydłowski, and Aneta Wojnar · 2016
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Bouncing Cosmologies: Progress and Problems
Robert Brandenberger and Patrick Peter · 2017
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Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
S. Nojiri, S. D. Odintsov, and V. K. Oikonomou · 2017
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Generic phase portrait analysis of finite-time singularities and generalized Teleparallel gravity
W. El Hanafy and G. G. L. Nashed · 2017
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Dynamical systems approach and generic properties of f ( T ) f(T) cosmology
Manuel Hohmann, Laur Jarv, and Ulbossyn Ualikhanova · 2017
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Cosmological reconstructed solutions in extended teleparallel gravity theories with a teleparallel Gauss–Bonnet term
Álvaro de la Cruz-Dombriz, Gabriel Farrugia, Jackson Levi Said, and Diego Sáez-Chillón Gómez · 2017
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Noether Symmetry Approach in f ( T , B ) f(T,B) teleparallel cosmology
Sebastian Bahamonde and Salvatore Capozziello · 2017
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de Sitter and Scaling solutions in a higher-order modified teleparallel theory
Andronikos Paliathanasis · 2017
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Model-independent reconstruction of f ( T ) f(T) teleparallel cosmology
Salvatore Capozziello, Rocco D’Agostino, and Orlando Luongo · 2017
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Inflationary cosmology in unimodular F ( T ) F(T) gravity
Kazuharu Bamba, Sergei D. Odintsov, and Emmanuel N. Saridakis · 2017
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Noether symmetry in f ( T ) f(T) teleparallel gravity
Nayem Sk · 2017
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Constraining f(T) gravity by dynamical system analysis
Behrouz Mirza and Fatemeh Oboudiat · 2017
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Lorenz Gauge Fixing of f ( T ) f(T) Teleparallel Cosmology
W. El Hanafy and G. G. L. Nashed · 2017
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Big-Bounce with Finite-time Singularity: The F ( R ) F(R) Gravity Description
S. D. Odintsov and V. K. Oikonomou · 2017
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No-Go theorems for ekpyrosis from ten-dimensional supergravity
Kunihito Uzawa · 2018
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Galactic Rotation Dynamics in f(T) gravity
Andrew Finch and Jackson Levi Said · 2018
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Probing f(T) gravity with gravitational time advancement
Xue-Mei Deng · 2018
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Cosmological bouncing solutions in extended teleparallel gravity theories
Álvaro de la Cruz-Dombriz, Gabriel Farrugia, Jackson Levi Said, and Diego Sáez-Chillón Gómez · 2018
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Gravitational Waves in Modified Teleparallel Theories
Gabriel Farrugia, Jackson Levi Said, Viktor Gakis, and Emmanuel N. Saridakis · 2018
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The gravitational energy-momentum pseudotensor: the cases of f ( R ) f(R) and f ( T ) f(T) gravity
Salvatore Capozziello, Maurizio Capriolo, and Maria Transirico · 2018
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Thermodynamics and cosmological reconstruction in f ( T , B ) f(T,B) gravity
Sebastian Bahamonde, M. Zubair, and G. Abbas · 2018
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Energy constraints and the phenomenon of cosmic evolution in the f ( T , B ) f(T,B) framework
M. Zubair, Saira Waheed, M. Atif Fayyaz, and Iftikhar Ahmad · 2018
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Updated constraints on f ( T ) f(T) models using direct and indirect measurements of the Hubble parameter
S. Basilakos, S. Nesseris, F. K. Anagnostopoulos, and E. N. Saridakis · 2018
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A new kind of cyclic universe
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Bouncing and Cyclic Quantum Primordial Universes and the Ordering Problem
Isaac Torres, Júlio César Fabris, and Oliver Fabio Piattella · 2019
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Teleparallel theories of gravity: illuminating a fully invariant approach
M. Krššák, R. J. van den Hoogen, J. G. Pereira, C. G. Böhmer, and A. A. Coley · 2019
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Can Horndeski Theory be recast using Teleparallel Gravity?
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An Axiomatic Purification of Gravity
Tomi Koivisto, Manuel Hohmann, and Luca Marzola · 2019
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Cosmological viable models in f(T,B) gravity as solutions to the H 0 H_{0} tension
Celia Escamilla-Rivera and Jackson Levi Said · 2020
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