Abstract

first_page settings Order Article Reprints Font Type: Arial Georgia Verdana Font Size: Aa Aa Aa Line Spacing:    Column Width:    Background: Open AccessAbstract Modified Gravity and Relativistic Stars † by Artyom V. Astashenok * and Alexey S. Baigashov * Department of Physics, Mathematics and IT, Kant Baltic Federal University, 236041 Kaliningrad, Russia * 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) Download Download PDF Download PDF with Cover Download XML Versions Notes 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 (https://creativecommons.org/licenses/by/4.0/). Share and Cite 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 Style Astashenok, Artyom V., and Alexey S. Baigashov. 2018. "Modified Gravity and Relativistic Stars" Proceedings 2, no. 1: 44. https://doi.org/10.3390/proceedings2010044 Find Other Styles Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here. Article Metrics No No Article Access Statistics Multiple requests from the same IP address are counted as one view.

Highlights

  • 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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Summary

Introduction

We construct nonperturbative models of compact stars in f(R) = R + αR2 -gravity and scalar-tensor gravity.

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