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arXiv · 2011.03848

Gravity with Higher Derivatives in D-Dimensions

Sergey G. Rubin·Arkadiy Popov·P. M. Petryakova
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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.

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Sergey G. Rubin, Arkadiy Popov, P. M. Petryakova. 2020-11-07. Gravity with Higher Derivatives in D-Dimensions. https://doi.org/10.3390/universe6100187

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