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On nonlocal modified gravity and its cosmological solutions. (English) Zbl 1369.83073

Dobrev, Vladimir (ed.), Lie theory and its applications in physics. Selected papers based on the presentations at the 11th workshop, LT 11, Varna, Bulgaria, June 15–21, 2015. Singapore: Springer (ISBN 978-981-10-2635-5/hbk; 978-981-10-2636-2/ebook). Springer Proceedings in Mathematics & Statistics 191, 35-51 (2016).
Summary: During hundred years of General Relativity (GR), many significant gravitational phenomena have been predicted and discovered. General Relativity is still the best theory of gravity. Nevertheless, some (quantum) theoretical and (astrophysical and cosmological) phenomenological difficulties of modern gravity have been motivation to search more general theory of gravity than GR. As a result, many modifications of GR have been considered. One of promising recent investigations is Nonlocal Modified Gravity. In this article we present a brief review of some nonlocal gravity models with their cosmological solutions, in which nonlocality is expressed by an analytic function of the d’Alembert-Beltrami operator \(\square\). Some new results are also presented.
For the entire collection see [Zbl 1364.22001].

MSC:

83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83F05 Relativistic cosmology
83C15 Exact solutions to problems in general relativity and gravitational theory
83C45 Quantization of the gravitational field
85A40 Astrophysical cosmology
35L05 Wave equation
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References:

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