Gravity with Higher Derivatives in D-Dimensions
arXiv:2011.03848 · doi:10.3390/universe6100187
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.
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)
References in corpus (7)
- Introduction to Effective Field Theory
- Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
- Inhomogeneous baryogenesis, cosmic antimatter, and dark matter
- Diversity of universes created by pure gravity
- Emergence of symmetries
- Metric gravity theories and cosmology:II. Stability of a ground state in f(R) theories
- Multidimensional cosmology and asymptotical AdS