Generalized theories of gravity and conformal continuations
摘要
Many theories of gravity admit formulations in different, conformally related manifolds, known as the Jordan and Einstein conformal frames. Among them are various scalar-tensor theories of gravity and high-order theories with the Lagrangian where is the scalar curvature and an arbitrary function. It may happen that a singularity in the Einstein frame corresponds to a regular surface S_trans in the Jordan frame, and the space-time is then continued beyond this surface. This phenomenon is called a conformal continuation (CC). We discuss the properties of vacuum static, spherically symmetric configurations of arbitrary dimension in scalar-tensor and theories of gravity and indicate necessary and sufficient conditions for the existence of solutions admitting a CC. Two cases are distinguished, when S_trans is an ordinary regular sphere and when it is a Killing horizon. Two explicit examples of CCs are presented.
引用
@article{arxiv.gr-qc/0601123,
title = {Generalized theories of gravity and conformal continuations},
author = {K. A. Bronnikov and M. S. Chernakova},
journal= {arXiv preprint arXiv:gr-qc/0601123},
year = {2007}
}
备注
5 pages, contribution to Proc. of 12th Russian Grav. Conf., Kazan, 20-26 June 2005. References updated