Conformal frames and D-dimensional gravity

Abstract

We review some results concerning the properties of static, spherically symmetric solutions of multidimensional theories of gravity: various scalar-tensor theories and a generalized string-motivated model with multiple scalar fields and fields of antisymmetric forms associated with p-branes. A Kaluza-Klein type framework is used: there is no dependence on internal coordinates but multiple internal factor spaces are admitted. We discuss the causal structure and the existence of black holes, wormholes and particle-like configurations in the case of scalar vacuum with arbitrary potentials as well as some observational predictions for exactly solvable systems with p-branes: post-Newtonian coefficients, Coulomb law violation and black hole temperatures. Particular attention is paid to conformal frames in which the theory is initially formulated and which are used for its comparison with observations; it is stressed that, in general, these two kinds of frames do not coincide.

20 pages, to be published in: Proceedings of the 18th Course of the School on Cosmology and Gravitation: The Gravitational Constant. Generalized Gravitational Theories and Experiments (30 April-10 May 2003, Erice). Ed. by G.T. Gillies, V.N. Melnikov and V. de Sabbata (Kluwer) (in print) (2003)

References in corpus (7)

• Large and infinite extra dimensions
• Brane worlds
• Scalar-tensor gravity and conformal continuations
• On black holes in multidimensional theory with Ricci-flat internal spaces
• Scalar fields in multidimensional gravity. No-hair and other no-go theorems
• On Observational Predictions from Multidimensional Gravity
• Non-Existence of Black Holes in Certain $\Lambda <0$ Spacetimes

Cited by in corpus (6)

• Integrable cosmological models with non-minimally coupled scalar fields
• Nonlinear multidimensional gravity and the Australian dipole
• Variations of $\alpha$ and $G$ from nonlinear multidimensional gravity
• The Spherically Symmetric Standard Model with Gravity
• Flexible extra dimensions
• Cosmology and matter induced branes