File:M. U. Alloqulov.pdf

English: General relativity (GR) is the standard theory of gravity which is proposed by Einstein

in 1915 and has been successfully tested using different experiments and observations. Recently, observation of gravitational waves [1] and shadow of M87 [2] can be considered as a test of GR in strong field regime. However, GR has few limitations in sense of describing the nature of the singularity during the gravitational collapse, cosmic acceleration, rotation curve of galaxies, incompatibility of GR with quantum field theory, etc. In order to resolve these problems one needs to either break the symmetries of GR or introduce modifications or alternative theories of gravity. Indeed, there are few experimental and theoretical studies of Lorentz symmetry violations [3]. Among the different modifications and extensions of GR built on symmetry breaks the Einstein-Maxwell-Scalar theory became attractive for theoretical

studies.