Scalar-tensor gravity and conformal continuations

Details Scalar-tensor gravity and conformal continuations Scalar-tensor gravity and conformal continuations

2002-03-30

arxiv.org/abs/gr-qc/0204001v1

J.Math.Phys. 43 (2002) 6096-6115

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex2e, 13 pages, 3 bezier figures

Scientific paper

10.1063/1.1519667

Global properties of vacuum static, spherically symmetric configurations are studied in a general class of scalar-tensor theories (STT) of gravity in various dimensions. The conformal mapping between the Jordan and Einstein frames is used as a tool. Necessary and sufficient conditions are found for the existence of solutions admitting a conformal continuation (CC). The latter means that a singularity in the Einstein-frame manifold maps to a regular surface S_(trans) in the Jordan frame, and the solution is then continued beyond this surface. S_(trans) can be an ordinary regular sphere or a horizon. In the second case, S_(trans) proves to connect two epochs of a Kantowski-Sachs type cosmology. It is shown that, in an arbitrary STT, with arbitrary potential functions $U(\phi)$, the list of possible types of causal structures of vacuum space-times is the same as in general relativity with a cosmological constant. This is true even for conformally continued solutions. It is found that when S_(trans) is an ordinary sphere, one of the generic structures appearing as a result of CC is a traversable wormhole. Two explicit examples are presented: a known solution illustrating the emergence of singularities and wormholes, and a nonsingular 3-dimensional model with an infinite sequence of CCs.

Affiliated with

Also associated with

No associations

Rating

Scalar-tensor gravity and conformal continuations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Scalar-tensor gravity and conformal continuations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scalar-tensor gravity and conformal continuations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-584995