Static spherically symmetric perfect fluid solutions inf(R)theories of gravity

2006/12/29 by Tuomas Multamäki, T. Multamaki, Iiro Vilja +1 · 6 citations
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geophysics and Gravity Measurements #astro-ph

paper · pdf · doi:10.1103/physrevd.76.064021

published as Phys.Rev.D76:064021,2007 · 5 pages

arxiv created 2006/12/29 · openalex publication_date 2007/09/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Static spherically symmetric perfect fluid solutions are studied in metric f(R) theories of gravity. We show that pressure and density do not uniquely determine f(R) i.e. given a matter distribution and an equation state, one cannot determine the functional form of f(R). However, we also show that matching the outside Schwarzschild--de Sitter metric to the metric inside the mass distribution leads to additional constraints that severely limit the allowed fluid configurations.

Citations

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Solar system testsdorule out1/Rgravity
• Curvature Quintessence

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