Gravity with Higher Derivatives in D-Dimensions

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 pr...

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Bibliographic Details
Published in:Universe
Main Authors: Sergey G. Rubin, Arkadiy Popov, Polina M. Petriakova
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Subjects:
Online Access:https://www.mdpi.com/2218-1997/6/10/187
Description
Summary: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.
ISSN:2218-1997