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Gravity with Higher Derivatives in D-Dimensions

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Moscow Engineering Physics Institute, National Research Nuclear University MEPhI, Kashirskoe shosse 31, 115409 Moscow, Russia
2
N.I. Lobachevsky Institute of Mathematics and Mechanics, Kazan Federal University, Kremlevskaya Street 18, 420008 Kazan, Russia
*
Author to whom correspondence should be addressed.
Universe 2020, 6(10), 187; https://doi.org/10.3390/universe6100187
Received: 25 September 2020 / Revised: 12 October 2020 / Accepted: 13 October 2020 / Published: 20 October 2020
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. View Full-Text
Keywords: multidimensional gravity; compact extra dimensions; gravity with higher derivatives; cosmology multidimensional gravity; compact extra dimensions; gravity with higher derivatives; cosmology
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Rubin, S.G.; Popov, A.; Petriakova, P.M. Gravity with Higher Derivatives in D-Dimensions. Universe 2020, 6, 187.

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