Raychaudhuri equation in scalar-tensor theory
arXiv:2103.08869 · doi:10.1142/S0219887821501152
Abstract
Implications of the Raychaudhuri equation in focusing of geodesic congruences are studied in the framework of scalar--tensor theory of gravity. Specifically, we investigate the Brans--Dicke theory and Bekenstein's scalar field theory. In both of these theories, we deal with a static spherically symmetric distribution and a spatially homogeneous and isotropic cosmological model as specific examples. We find that it is possible to violate the convergence condition under reasonable physical assumptions. This leads to the possibility of avoiding a singularity.
arXiv comment16 pages, 5 figures, matches with the published version
References in corpus (16)
- Extended Gravity Cosmography
- Energy conditions in f(R)-gravity
- Cosmic acceleration without quintessence
- On the theory and applications of modern cosmography
- Illusions of general relativity in Brans-Dicke gravity
- Selected topics in scalar-tensor theories and beyond
- Cosmographic Constraints and Cosmic Fluids
- On the existence of conformally coupled scalar field hair for black holes in (anti-)de Sitter space
- "Are Black Holes in Brans-Dicke Theory precisely the same as in General Relativity?"
- On the non-attractive character of gravity in f(R) theories
- Spherical Black Holes cannot Support Scalar Hair
- On static spherically symmetric solutions of the vacuum Brans-Dicke theory
- Strong energy condition and the repulsive character of f(R) gravity
- Towards the Raychaudhuri Equation Beyond General Relativity
- Exact Conformal Scalar Field Cosmologies
- Quasinormal modes of a charged spherical black hole with scalar hair for scalar and Dirac perturbations