New framework for studying spherically symmetric static solutions in f(R) gravity

Journal Article · Thu Apr 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.084028· OSTI ID:21409607

Nzioki, Anne Marie; Goswami, Rituparno ^[1]; Carloni, Sante ^[2]; Dunsby, Peter K. S. ^[1]

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1. Astrophysics, Cosmology and Gravity Centre (ACGC), University of Cape Town, Rondebosch, 7701 (South Africa)
2. Institut d'Estudis Espacials de Catalunya (IEEC), Campus UAB, Facultat Ciencies, Torre C5-Par-2a pl, E-08193 Bellaterra (Barcelona) (Spain)

We develop a new covariant formalism to treat spherically symmetric spacetimes in metric f(R) theories of gravity. Using this formalism we derive the general equations for a static and spherically symmetric metric in a general f(R) gravity. These equations are used to determine the conditions for which the Schwarzschild metric is the only vacuum solution with vanishing Ricci scalar. We also show that our general framework provides a clear way of showing that the Schwarzschild solution is not a unique static spherically symmetric solution, providing some insight into how the current form of Birkhoff's theorem breaks down for these theories.

• OSTI ID: 21409607
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
97 MATHEMATICS AND COMPUTING
EQUATIONS
GRAVITATION
MATHEMATICAL SOLUTIONS
MATTER
METRICS
NONLUMINOUS MATTER
SCHWARZSCHILD METRIC
SPACE-TIME
SYMMETRY