School and Conference on Modern Mathematical Physics

18 - 23 September 2017, Belgrade, Serbia


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Jelena Stankovic

New cosmological solutions in nonlocal modified gravity

Despite its theoretical beauty and many phenomenological evidences, general relativity is not a complete theory and should be modified. There are many its modifications, which are motivated by quantum gravity, string theory, astrophysics and cosmology. One of very promising directions of research is nonlocal modified gravity and its applications to cosmology. In this contribution we consider nonlocal modified gravity without matter, where nonlocality is of the form \sqrt{R-2\Lambda}F(\Box)\sqrt{R-2\Lambda}. Here, R is Ricci scalar curvature, \Lambda cosmological constant, \Box is d'Alembert operator and F(\Box) is an analytic function. The corresponding Einstein equations of motion are derived and presented. Using ansatze we can solve equations of motion and get some cosmological solutions.

This is joint work with I. Dimitrijevic, B. Dragovich, A. S. Koshelev and Z. Rakic.


Institute of Physics Belgrade
(University of Belgrade)

Belgrade, Serbia


Mathematical Institute
(Serbian Academy of Sciences and Arts)

Belgrade, Serbia


Faculty of Mathematics
(University of Belgrade)

Belgrade, Serbia

E-mail: mphys9@ipb.ac.rs