Generalized Misner-Sharp energy inf(R)gravity

2009/10/28 by Rong-Gen Cai, Li-Ming Cao, Ya-Peng Hu +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.80.104016

published as Phys.Rev.D80:104016,2009 · Revtex, 17 pages, v2: some references added, to appear in PRD

arxiv created 2009/10/28 · openalex publication_date 2009/11/13 · arxiv updated 2010/04/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study generalized Misner-Sharp energy in f(R) gravity in a spherically symmetric space-time. We find that unlike the cases of Einstein gravity and Gauss-Bonnet gravity, the existence of the generalized Misner-Sharp energy depends on a constraint condition in the f(R) gravity. When the constraint condition is satisfied, one can define a generalized Misner-Sharp energy, but it cannot always be written in an explicit quasilocal form. However, such a form can be obtained in a Friedmann-Robertson-Walker universe and for static spherically symmetric solutions with constant scalar curvature. In the Friedmann-Robertson-Walker universe, the generalized Misner-Sharp energy is nothing but the total matter energy inside a sphere with radius r, which acts as the boundary of a finite region under consideration. The case of scalar-tensor gravity is also briefly discussed.

Citations

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