Gravity with Higher Derivatives in D-Dimensions
Abstract
The aim of this review is to discuss the ways to obtain results based on gravity with higher derivatives in D-dimensional world. We considered the following ways: (1) reduction to scalar tensor gravity, (2) direct solution of the equations of motion, (3) derivation of approximate equations in the presence of a small parameter in the system, and (4) the method of test functions. Some applications are presented to illustrate each method. The unification of two necessary elements of a future theory is also kept in mind - the extra dimensions and the extended form of the gravity.
Keywords
Cite
@article{arxiv.2011.03848,
title = {Gravity with Higher Derivatives in D-Dimensions},
author = {Sergey G. Rubin and Arkadiy Popov and P. M. Petryakova},
journal= {arXiv preprint arXiv:2011.03848},
year = {2023}
}
Comments
22 pages, 9 figures, this article belongs to the Special Issue Selected Papers from the 17th Russian Gravitational Conference - International Conference on Gravity, Cosmology and Astrophysics (RUSGRAV-17)