Abstract:

I  give brief overview of the universe history from the inflation to radiation/matter dominance and finally dark energy era via modified gravity.  The case of F(R) gravity is mainly considered. It is reviewed the realistic F(R) gravities which pretend to describe the universe evolution.Such theories enjoy general covariance and they are  ghost-free ones. Some data confrontation with Planck and DE bounds is done.  Einstein-Gauss-Bonnet gravity is also discussed.  Inflation in such theory subject the special condition to keep the gravitational waves speed to be equal that of speed is considered.  Brief remarks on neutron stars and black holes in modified gravity are done. This universal general approach opens the new view to the universe evolution as a whole, not just specific era description what is standard now in cosmology. 

Short bio.

Prof. Sergei Odintsov is an ICREA Research Professor at ICE (CSIC-IEEC). He is the author of about 750 articles cited over 70000 times, and two of his manuscripts were cited more than 3000 times. Prof. Odintsov is Member of the Royal Norwegian Academy and Academy of Non-linear Sciences (Serbia), member of the European Physics Society, and the Italian Society for General Relativity and Gravitation. He was awarded the Amaldi Gold Medal: European Prize for Grav. Physics 2014. Prof. Odintsov is an Editorial Board Member of seven journals. His h-index=129 (Google S.), h=116 (inspirehep). According to research.com he is ranked 532 among the Top 1000 Scientists in Physics in the world (2023). Top Cited Clarivate Analytics Researcher in 2014-2018, 2023. Honorary professor of several universities.

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