Modified Gravity and Relativistic Stars †
Department of Physics, Mathematics and IT, Kant Baltic Federal University, 236041 Kaliningrad, Russia
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Authors to whom correspondence should be addressed.
†
Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017.
Proceedings 2018, 2(1), 44; https://doi.org/10.3390/proceedings2010044
Published: 5 January 2018
(This article belongs to the Proceedings of The First International Conference on Symmetry)
We construct nonperturbative models of compact stars in f(R) = R + αR2 -gravity and scalar-tensor gravity. For α > 0 the shooting method of solution gives that there is unique value of curvature at the center of star at which solution has required Schwarzschild asymptotic. For distant observer the gravitational mass of star increases negligibly for realistic values of α with increasing α. One can say that increasing of mass occurs by “gravitational sphere” outside the star with some “effective mass”. For α < 0 we have no rigid condition on R at center of star but there are no realistic solutions. The contribution to mass from gravitational field grows infinitely with distance.
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MDPI and ACS Style
Astashenok, A.V.; Baigashov, A.S. Modified Gravity and Relativistic Stars. Proceedings 2018, 2, 44. https://doi.org/10.3390/proceedings2010044
AMA Style
Astashenok AV, Baigashov AS. Modified Gravity and Relativistic Stars. Proceedings. 2018; 2(1):44. https://doi.org/10.3390/proceedings2010044
Chicago/Turabian StyleAstashenok, Artyom V., and Alexey S. Baigashov. 2018. "Modified Gravity and Relativistic Stars" Proceedings 2, no. 1: 44. https://doi.org/10.3390/proceedings2010044
