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      Vacuum solutions around spherically symmetric and static objects in Starobinsky model

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          Abstract

          The vacuum solutions around a spherically symmetric and static object are studied in Starobinsky model with perturbative approach. The differential equations for the components of the metric and the Ricci scalar are obtained and solved by using the method of matched asymptotic expansions. The presence of higher order terms in this gravity model leads to the formation of a boundary layer near the surface of the star allowing the accommodation of the extra boundary conditions on the Ricci scalar. Accordingly, the metric can be different from the Schwarzschild solution near the star depending on the value of the Ricci scalar at the surface of the star while matching the Schwarzschild metric far from the star. The modified vacuum solution leads to deviations from general relativity that could be measured in light bending observations.

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            The problem of nonlocality in string theory

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              Relativistic stars in f(R) gravity

               ,   (2010)
              We study the strong gravity regime in viable models of so-called f(R) gravity that account for the observed cosmic acceleration. In contrast with recent works suggesting that very relativistic stars might not exist in these models, we find numerical solutions corresponding to static star configurations with a strong gravitational field. The choice of the equation of state for the star is crucial for the existence of solutions. Indeed, if the pressure exceeds one third of the energy density in a large part of the star, static configurations do not exist. In our analysis, we use a polytropic equation of state, which is not plagued with this problem and, moreover, provides a better approximation for a realistic neutron star.
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                Author and article information

                Journal
                28 July 2017
                Article
                1708.00345

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                Custom metadata
                13 pages, 2 figures
                gr-qc astro-ph.HE

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