Fetching the paper…

Reading the bibliography…

2023

Ghost and Laplacian Instabilities in the Teleparallel Horndeski Gravity

Capozziello, Salvatore, Caruana, Maria, Said, Jackson Levi et al.

Original
PDF
Post on X

Understand

Teleparallel geometry offers a platform on which to build up theories of gravity where torsion rather than curvature mediates gravitational interaction.

The teleparallel analogue of Horndeski gravity is an approach to teleparallel geometry where scalar-tensor theories are considered in this torsional framework.
Being teleparallel gravity of lower order in dynamics, this turns out to be more general than metric Horndeski gravity.
In other words, the class of teleparallel Horndeski gravity models is much broader than the standard metric one.

Ghost and Laplacian Instabilities in the Teleparallel Horndeski Gravity · Around

Built on

T. Kobayashi, “Horndeski theory and beyond: a review,” Rept. Prog. Phys
Original
1901
Earlier work this paper cites.
T. Kobayashi, “Horndeski theory and beyond: a review,” Rept. Prog. Phys
Original
1901
Earlier work this paper cites.
A. G. Riess, S. Casertano, W. Yuan, L. M. Macri, and D. Scolnic, “Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics beyond Λ \Lambda CDM,” Astrophys. J
Original
1903
Earlier work this paper cites.
J. Beltrán Jiménez, L. Heisenberg, and T. S. Koivisto, “The Geometrical Trinity of Gravity,” Universe
Original
1903
Earlier work this paper cites.
S. Bahamonde, K. F. Dialektopoulos, and J. Levi Said, “Can Horndeski Theory be recast using Teleparallel Gravity?,” Phys. Rev. D
Original
1904
Earlier work this paper cites.
K. C. Wong et al
Original
1907
Earlier work this paper cites.
S. Bahamonde, K. Flathmann, and C. Pfeifer, “Photon sphere and perihelion shift in weak f ⁡ ( T ) f(T) gravity,” Phys. Rev. D
Original
1907
Earlier work this paper cites.
S. Bahamonde, K. F. Dialektopoulos, V. Gakis, and J. Levi Said, “Reviving Horndeski theory using teleparallel gravity after GW170817,” Phys. Rev. D
Original
1907
Earlier work this paper cites.
C. Escamilla-Rivera and J. Levi Said, “Cosmological viable models in f ⁡ ( T , B ) f(T,B) theory as solutions to the H 0 H_{0} tension,” Class. Quant. Grav
Original
1909
Earlier work this paper cites.
T. Koivisto, M. Hohmann, and L. Marzola, “Axiomatic derivation of coincident general relativity and its premetric extension,” Phys. Rev. D
Original
1909
Earlier work this paper cites.
S. Capozziello, M. Capriolo, and L. Caso, “Weak field limit and gravitational waves in f ⁡ ( T , B ) f(T,B) teleparallel gravity,” Eur. Phys. J. C
Original
1912
Earlier work this paper cites.
P. Noordhoff, Groningen, 1923
R. Weitzenböck, Invariantentheorie · 1923
Earlier work this paper cites.
C. Brans and R. H. Dicke, “Mach’s principle and a relativistic theory of gravitation,” Phys. Rev
1961
Earlier work this paper cites.
D. Lovelock, “The Einstein tensor and its generalizations,” J. Math. Phys
1971
Earlier work this paper cites.
No. pt. 3 in Gravitation. W. H. Freeman, 1973
C. Misner, K. Thorne, K. Thorne, J. Wheeler, W. Freeman, and Company, Gravitation · 1973
Earlier work this paper cites.
G. W. Horndeski, “Second-order scalar-tensor field equations in a four-dimensional space,” Int. J. Theor. Phys
1974
Earlier work this paper cites.
F. W. Hehl, P. Von Der Heyde, G. D. Kerlick, and J. M. Nester, “General Relativity with Spin and Torsion: Foundations and Prospects,” Rev. Mod. Phys
1976
Earlier work this paper cites.
R. Ferraro and F. Fiorini, “On Born-Infeld Gravity in Weitzenbock spacetime,” Phys. Rev. D
Original
1981
Earlier work this paper cites.
K. Hayashi and T. Shirafuji, “New General Relativity,” Phys. Rev. D
1982
Earlier work this paper cites.
P. Teyssandier and P. Tourrenc, “The Cauchy problem for the R+R**2 theories of gravity without torsion,” J. Math. Phys
1983
Earlier work this paper cites.
E. Pagani, G. Tecchiolli, and S. Zerbini, “On the Problem of Stability for Higher Order Derivatives: Lagrangian Systems,” Lett. Math. Phys
1987
Earlier work this paper cites.
S. Weinberg, “The Cosmological Constant Problem,” Rev. Mod. Phys
1989
Earlier work this paper cites.
F. W. Hehl, J. D. McCrea, E. W. Mielke, and Y. Ne’eman, “Metric affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance,” Phys. Rept
1995
Earlier work this paper cites.
M. Bruni, S. Matarrese, S. Mollerach, and S. Sonego, “Perturbations of space-time: Gauge transformations and gauge invariance at second order and beyond,” Class. Quant. Grav
1997
Earlier work this paper cites.
Supernova Search Team
1998
Earlier work this paper cites.
Supernova Cosmology Project
1999
Earlier work this paper cites.
S. Capozziello, G. Lambiase, and C. Stornaiolo, “Geometric classification of the torsion tensor in space-time,” Annalen Phys
2001
Earlier work this paper cites.
G. Farrugia, J. Levi Said, and A. Finch, “Gravitoelectromagnetism, Solar System Tests, and Weak-Field Solutions in f ⁡ ( T , B ) f(T,B) Gravity with Observational Constraints,” Universe
Original
2002
Earlier work this paper cites.
S. Capozziello, “Curvature quintessence,” Int. J. Mod. Phys. D
2002
Earlier work this paper cites.
S. Bahamonde, K. F. Dialektopoulos, M. Hohmann, and J. Levi Said, “Post-Newtonian limit of Teleparallel Horndeski gravity,” Class. Quant. Grav
Original
2003
Earlier work this paper cites.
J. Beltrán Jiménez, L. Heisenberg, and T. Koivisto, “The coupling of matter and spacetime geometry,” Class. Quant. Grav
Original
2004
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, “Introduction to modified gravity and gravitational alternative for dark energy,” eConf
2006
Earlier work this paper cites.
K. Nakamura, “Gauge-invariant formulation of the second-order cosmological perturbations,” Phys. Rev. D
2006
Earlier work this paper cites.
S. Capozziello, M. Benetti, and A. D. A. M. Spallicci, “Addressing the cosmological H 0 H_{0} tension by the Heisenberg uncertainty,” Found. Phys
Original
2007
Earlier work this paper cites.
R. P. Woodard, “Avoiding dark energy with 1/r modifications of gravity,” Lect. Notes Phys
2007
Earlier work this paper cites.
R. Ferraro and F. Fiorini, “Modified teleparallel gravity: Inflation without inflaton,” Phys. Rev. D
2007
Earlier work this paper cites.
E. Di Valentino et al
Original
2008
Earlier work this paper cites.

Similar

E. Di Valentino et al
Original
2008
Cited alongside, same era.
10, 2008
Original
V. Faraoni, “f(R) gravity: Successes and challenges,” in 18th SIGRAV Conference · 2008
Cited alongside, same era.
G. R. Bengochea and R. Ferraro, “Dark torsion as the cosmic speed-up,” Phys. Rev. D
Original
2009
Cited alongside, same era.
S. Bahamonde, V. Gakis, S. Kiorpelidi, T. Koivisto, J. Levi Said, and E. N. Saridakis, “Cosmological perturbations in modified teleparallel gravity models: Boundary term extension,” Eur. Phys. J. C
Original
2009
Cited alongside, same era.
K. A. Malik and D. Wands, “Cosmological perturbations,” Phys. Rept
Original

Then

LIGO Scientific, Virgo
Original
2017
Later among the works it cites.
A. Goldstein et al
Original
2017
Later among the works it cites.
S. Bahamonde and S. Capozziello, “Noether Symmetry Approach in f ⁡ ( T , B ) f(T,B) teleparallel cosmology,” Eur. Phys. J. C
Original
2017
Later among the works it cites.
A. Paliathanasis, “de Sitter and Scaling solutions in a higher-order modified teleparallel theory,” JCAP
Original
2017
Later among the works it cites.
S. Nojiri, S. D. Odintsov, and V. K. Oikonomou, “Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution,” Phys. Rept
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2009

Cited alongside, same era.

E. V. Linder, “Einstein’s Other Gravity and the Acceleration of the Universe,” Phys. Rev. D

2010

Cited alongside, same era.

T. P. Sotiriou and V. Faraoni, “f(R) Theories Of Gravity,” Rev. Mod. Phys

2010

Cited alongside, same era.

A. De Felice and S. Tsujikawa, “f(R) theories,” Living Rev. Rel

2010

Cited alongside, same era.

A. De Felice, J.-M. Gerard, and T. Suyama, “Cosmological perturbations of a perfect fluid and noncommutative variables,” Phys. Rev. D

2010

Cited alongside, same era.

A. De Felice and S. Tsujikawa, “Generalized Brans-Dicke theories,” JCAP

2010

Cited alongside, same era.

Springer, Dordrecht, 2011

S. Capozziello and V. Faraoni, Beyond Einstein Gravity: A Survey of Gravitational Theories for Cosmology and Astrophysics · 2011

Cited alongside, same era.

T. Kobayashi, M. Yamaguchi, and J. Yokoyama, “Generalized G-inflation: Inflation with the most general second-order field equations,” Prog. Theor. Phys

2011

Cited alongside, same era.

2017

Later among the works it cites.

J. M. Ezquiaga and M. Zumalacárregui, “Dark Energy After GW170817: Dead Ends and the Road Ahead,” Phys. Rev. Lett

2017

Later among the works it cites.

S. Bahamonde, C. G. Böhmer, and M. Krššák, “New classes of modified teleparallel gravity models,” Phys. Lett. B

2017

Later among the works it cites.

LIGO Scientific, Virgo

2017

Later among the works it cites.

S. Appleby and E. V. Linder, “The Well-Tempered Cosmological Constant,” JCAP

2018

Later among the works it cites.

G. Farrugia, J. Levi Said, V. Gakis, and E. N. Saridakis, “Gravitational Waves in Modified Teleparallel Theories,” Phys. Rev. D

2018

Later among the works it cites.

S. Bahamonde, M. Zubair, and G. Abbas, “Thermodynamics and cosmological reconstruction in f ⁡ ( T , B ) f(T,B) gravity,” Phys. Dark Univ

2018

Later among the works it cites.

M. Hohmann, “Scalar-torsion theories of gravity I: general formalism and conformal transformations,” Phys. Rev. D

2018

Later among the works it cites.

M. Hohmann and C. Pfeifer, “Scalar-torsion theories of gravity II: L ⁡ ( T , X , Y , ϕ ) L(T,X,Y,\phi) theory,” Phys. Rev. D

2018

Later among the works it cites.

M. Hohmann, “Scalar-torsion theories of gravity III: analogue of scalar-tensor gravity and conformal invariants,” Phys. Rev. D

2018

Later among the works it cites.

S. Capozziello, K. F. Dialektopoulos, and S. V. Sushkov, “Classification of the Horndeski cosmologies via Noether Symmetries,” Eur. Phys. J. C

2018

Later among the works it cites.

K. F. Dialektopoulos and S. Capozziello, “Noether Symmetries as a geometric criterion to select theories of gravity,” Int. J. Geom. Meth. Mod. Phys

2018

Later among the works it cites.

H. Abedi and S. Capozziello, “Gravitational waves in modified teleparallel theories of gravity,” Eur. Phys. J. C

Original

2018

Later among the works it cites.

H. Abedi, S. Capozziello, R. D’Agostino, and O. Luongo, “Effective gravitational coupling in modified teleparallel theories,” Phys. Rev. D

2018

Later among the works it cites.

M. Hohmann, L. Järv, and U. Ualikhanova, “Covariant formulation of scalar-torsion gravity,” Phys. Rev. D

2018

Later among the works it cites.

M. Ishak, “Testing General Relativity in Cosmology,” Living Rev. Rel

2019

Later among the works it cites.

M. Krssak, R. J. van den Hoogen, J. G. Pereira, C. G. Böhmer, and A. A. Coley, “Teleparallel theories of gravity: illuminating a fully invariant approach,” Class. Quant. Grav

2019

Later among the works it cites.

A. Rezaei Akbarieh and Y. Izadi, “Tachyon Inflation in Teleparallel Gravity,” Eur. Phys. J. C

2019

Later among the works it cites.

E. Di Valentino, O. Mena, S. Pan, L. Visinelli, W. Yang, A. Melchiorri, D. F. Mota, A. G. Riess, and J. Silk, “In the realm of the Hubble tension—a review of solutions,” Class. Quant. Grav

2021

Later among the works it cites.

S. Bahamonde, M. Caruana, K. F. Dialektopoulos, V. Gakis, M. Hohmann, J. Levi Said, E. N. Saridakis, and J. Sultana, “Gravitational-wave propagation and polarizations in the teleparallel analog of Horndeski gravity,” Phys. Rev. D

2021

Later among the works it cites.

R. C. Bernardo, J. L. Said, M. Caruana, and S. Appleby, “Well-tempered teleparallel Horndeski cosmology: a teleparallel variation to the cosmological constant problem,” JCAP

Original

2021

Later among the works it cites.

M. Gonzalez-Espinoza, G. Otalora, and J. Saavedra, “Stability of scalar perturbations in scalar-torsion f(T, ϕ \phi ) gravity theories in the presence of a matter fluid,” JCAP

2021

Later among the works it cites.

S. Bahamonde, M. Caruana, K. F. Dialektopoulos, V. Gakis, M. Hohmann, J. Levi Said, E. N. Saridakis, and J. Sultana, “Gravitational-wave propagation and polarizations in the teleparallel analog of Horndeski gravity,” Phys. Rev. D

2021

Later among the works it cites.

H. Özer and O. Delice, “Gravitational waves in Brans–Dicke theory with a cosmological constant,” Eur. Phys. J. C

2021

Later among the works it cites.

A. G. Riess et al

2022

Later among the works it cites.

2022

Later among the works it cites.

D. Scolnic et al

Original

2022

Later among the works it cites.

E. Abdalla et al

2022

Later among the works it cites.

M. Miranda, D. Vernieri, S. Capozziello, and V. Faraoni, “Generalized McVittie geometry in Horndeski gravity with matter,” Phys. Rev. D

2022

Later among the works it cites.

S. Capozziello, V. De Falco, and C. Ferrara, “Comparing equivalent gravities: common features and differences,” Eur. Phys. J. C

2022

Later among the works it cites.

R. C. Bernardo, J. L. Said, M. Caruana, and S. Appleby, “Well-tempered Minkowski solutions in teleparallel Horndeski theory,” Class. Quant. Grav

2022

Later among the works it cites.

K. F. Dialektopoulos, J. L. Said, and Z. Oikonomopoulou, “Classification of teleparallel Horndeski cosmology via Noether symmetries,” Eur. Phys. J. C

2022

Later among the works it cites.

Cambridge Monographs on Mathematical Physics. Cambridge University Press, 11, 2022

F. Bajardi and S. Capozziello, Noether Symmetries in Theories of Gravity · 2022

Later among the works it cites.