4D Einstein-Gauss-Bonnet Gravity Generated By Invisible Extra Dimensions
Year: 2021
Type: preprint
Abstract: We show that within the recent formulation of gravity in presence of extra dimensions of vanishing proper length [1], the Gauss-Bonnet and higher Lovelock terms become dynamically nontrivial in four dimensions. The effective theory so obtained exhibits at the most a quadratic curvature nonlinearity. In absence of torsion, this formulation reflects a pure metric theory with no higher than second derivatives. The formalism is independent of any compactification, requires no (classical) regularization of divergences and is generally covariant. This is in contrast with a recent proposal by Glavan and Lin, and also with prescriptions based on singular rescaling of couplings applied to a Kaluza-Klein reduced or a conformally modified action. The vacuum field equations lead to an FLRW cosmology containing nonsingular bounce and self-accelerating Universe models and to spherically symmetric black holes superceding Schwarzschild.
Source: arXiv (Cornell University)
Author: Sandipan Sengupta
Institution: Indian Institute of Technology Kharagpur
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3199853444