Exact solutions in modified gravity models. (English) Zbl 1297.83040
Summary: We review the exact solutions in modified gravity. It is one of the main problems of mathematical physics for the gravity theory. One can obtain an exact solution if the field equations reduce to a system of ordinary differential equations. In this paper we consider a number of exact solutions obtained by the method of separation of variables. Some applications to Cosmology and black hole entropy are briefly mentioned.
MSC:
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 83C15 | Exact solutions to problems in general relativity and gravitational theory |
| 83F05 | Relativistic cosmology |
| 83-02 | Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory |
| 83C57 | Black holes |
| 94A17 | Measures of information, entropy |
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