Abstract
Modified Gravity and Relativistic Stars † Artyom V. Astashenok * and Alexey S. Baigashov * Department of Physics, Mathematics and IT, Kant Baltic Federal University, 236041 Kaliningrad, Russia * Correspondence:
[email protected] (A.V.A.);
[email protected] (A.S.B.) † Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017. Published: 5 January 2018
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. © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
Proceedings 2018, 2, 44; doi:10.3390/proceedings2010044
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