$p$-Branes with $AdS_{p+1}$ vacuum as models of $R^2$ gravity
High Energy Physics - Theory
2019-08-01 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
Branes with constant mean curvature of their hyper-worldsheets of codim 1 are treated as the Nambu-Goldstone fields of the broken Poincare symmetry. Mapping of their action into quadratic curvature gravity action with spontaneously generated gravity, is shown. Equation for the brane potential extremals and its solution describing hyper-ws of constant curvature are found. For membranes in this extremum is shown to be a saddle 3-dim. hypersurface which defines classically unstable vacuum.
Keywords
Cite
@article{arxiv.1808.06202,
title = {$p$-Branes with $AdS_{p+1}$ vacuum as models of $R^2$ gravity},
author = {A. A. Zheltukhin},
journal= {arXiv preprint arXiv:1808.06202},
year = {2019}
}
Comments
26 pages, published version: introduction extended, typos corrected, some clarifications, references and a new section added