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Solutions of field equations in $f(R)$ gravity are found for a spherically symmetric and static spacetime in the Born-Infeld (BI) non-linear electrodynamics.
Die Rotverschiebung von extragalaktischen Nebeln
F. Zwicky · 1933
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Foundations of the new field theory
M. Born and L. Infeld · 1934
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Gravitational and electromagnetic mass in the born-infeld electrodynamics
B. Hoffmann · 1935
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A Numerical Study of the Stability of Flattened Galaxies: or, can Cold Galaxies Survive?
J. P. Ostriker and P. J. E. Peebles · 1973
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A New Type of Isotropic Cosmological Models Without Singularity
A. A. Starobinsky · 1980
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A Modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis
M. Milgrom · 1983
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Cosmological consequences of a rolling homogeneous scalar field
B. Ratra and P. J. E. Peebles · 1988
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The structure of cold dark matter halos
J. F. Navarro, C. S. Frenk, and S. D. M. White · 1996
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Thermodynamics of black holes in Brans-Dicke gravity
H. Kim and Y. Kim · 1997
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The einstein equations on the 3-brane world
T. Shiromizu, K.-i. Maeda, and M. Sasaki · 2000
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Brane worlds
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Higher order curvature theories of gravity matched with observations: A Bridge between dark energy and dark matter problems
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Is cosmic speed-up due to new gravitational physics?
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Type Ia supernova discoveries at z ¿ 1 from the Hubble Space Telescope: Evidence for past deceleration and constraints on dark energy evolution
A. G. Riess et al · 2004
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Spherically symmetric solutions of modified field equations inf(r)theories of gravity
T. Multamäki and I. Vilja · 2006
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Conditions for the cosmological viability off(r)dark energy models
L. Amendola, R. Gannouji, D. Polarski, and S. Tsujikawa · 2007
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L. Amendola, D. Polarski, and S. Tsujikawa · 2007
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Introduction to modified gravity and gravitational alternative for dark energy
Black hole entropy in scalar-tensor and f(R) gravity: An Overview
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Boundary Term in Metric f(R) Gravity: Field Equations in the Metric Formalism
A. Guarnizo, L. Castaneda, and J. M. Tejeiro · 2010
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f(R) Theories Of Gravity
T. P. Sotiriou and V. Faraoni · 2010
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Is dark matter an illusion created by the gravitational polarization of the quantum vacuum?
D. S. Hajdukovic · 2011
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Static spherically symmetric solutions in f(r) gravity
L. Sebastiani and S. Zerbini · 2011
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New spherically symmetric solutions in f(r)-gravity by noether symmetries
S. Capozziello, N. Frusciante, and D. Vernieri · 2012
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S. Nojiri and S. D. Odintsov · 2007
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Model of dark matter and dark energy based on gravitational polarization
L. Blanchet and A. Le Tiec · 2008
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Dark matter as a geometric effect in f(R) gravity
C. G. Boehmer, T. Harko, and F. S. N. Lobo · 2008
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f(r)gravity and chameleon theories
P. Brax, C. van de Bruck, A.-C. Davis, and D. J. Shaw · 2008
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Spherical symmetry inf(r)-gravity
S. Capozziello, A. Stabile, and A. Troisi · 2008
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A Class of viable modified f(R) gravities describing inflation and the onset of accelerated expansion
G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov, L. Sebastiani, and S. Zerbini · 2008
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A note on constant curvature solutions in cylindrically symmetric metric f(r) gravity
D. Momemi and H. Gholizade · 2009
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Interacting Quintessence Models of Dark Energy
M. Khurshudyan, E. Chubaryan, and B. Pourhassan · 2014
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Thermodynamics and geometrothermodynamics of born–infeld black holes with cosmological constant
H. Quevedo, M. Quevedo, and A. Sánchez · 2015
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Cosmological constraints and comparison of viable f(r) models
J. Pérez-Romero and S. Nesseris · 2018
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Theory and Experiment in Gravitational Physics
C. M. Will · 2018
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Charged spherically symmetric black holes in f(r) gravity and their stability analysis
G. Nashed and S. Capozziello · 2019
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Spherically symmetric black holes with electric and magnetic charge in extended gravity: physical properties, causal structure, and stability analysis in einstein’s and jordan’s frames
E. Elizalde, G. G. L. Nashed, S. Nojiri, and S. D. Odintsov · 2020
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