On the solution of an f(r) theory of gravity motivated by gravitational waves in spherically symmetric space-time
Abstract
There are many modification of Einstein theory have been established which explain the behavior of universe realistically or hypo-theoretically. Out of those, an f(R) theory of gravity based on non-conformal invariance of gravitational waves has been developed. We attempted to find the solution of this theory for spherically symmetric spacetime in vacuum and compared its result to Einstein theory. We have concluded that solution is consistent with Newtonian limit at large distance from source. Solution predicts two horizon in the spacetime, none of them coincides with Schwarzschild counterpart. However, as this f(R) theory converges to Einstein theory, these horizons coincide.
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References
S. Capozziello and V. Faraoni, Beyond Einstein gravity: A Survey of gravitational theories for cosmology and astrophysics, Springer Science & Business Media (2010).
S. Capozziello, M. De Laurentis and V. Faraoni, A bird’s eye view of f (R)-gravity, arXiv preprint arXiv:0909.4672 (2009).
S. Capozziello, V. F. Cardone, A. Troisi, Phys. Rev. D 71 (4), 043503(2005).
T. P. Sotiriou and V. Faraoni, arXiv:0805.1726v3 (gr-qc) (2009).
A. A. Sokolov, Problem of Theoretical Physics (In Russian), Moscow State University, Moscow (1976).
S. Capozziello, A. Stabile and A. Troisi, Mod. phys. lett. A 24 (09), 659 (2009).
S. Capozziello, A. Stabile, A. Troisi, Classical Quant. Grav. 25 (8), 085004 (2008).
S. Capozziello, A. Stabile, A. Troisi, Classical Quant. Grav. 24 (8), 2153 (2007).
S. Capozziello, V. F. Cardone, M. Francaviglia, Gen. Relat. Gravit. 38 (5), 711 (2006).
S. Capozziello and R. Garattini, Classical Quant. Grav. 24 (6), 1627 (2007).
A. A. Grib and S. N. Pandey, Proc Einstein Foundation International Nagpur, India (1983).
N. Pandey, Gravitation, Phoenix Publishing House New Delhi (1999).
S. N. Pandey, Intern. J. Theor. Phys., 22, 209 (1983).
S. N. Pandey, Intern. J. Theor. Phys. 27, 695 (1988).
S. N. Pandey, Gravitation and Cosmology, 20, 35 (2014).
S. N. Pandey, Nuovo Cimento 116B, 327 (2001).
S. N. Pandey, IL Nuovo Cimento 125 B, 775 (2010).
S. Nojiri and S. D. Odintsov, Gen.Rel.Grav.36,1765(2004).
T. Harko, F. S. N. Lobo, S. Nojiri and S. D. Odintsov, Phys. Rev. D84:024020 (2011).
S. N. Pandey, J. Proc. R. Soc., NSW, 141, 35 (2009).
A. A. Grib, S. G. Mamayev, and V. M. Mostepanenko, Quantum Effects in Strong External Fields (in Russian) Moscow (1980).
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