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.

arXiv comment22 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)

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Cited by in corpus (3)

• Sub-Planckian scale and limits for $f(R)$ models
• Multidimensional arrow of time
• Dynamics of a homogeneous and isotropic space in pure cubic f(R) gravity