Uniform density static fluid sphere in Einstein-Gauss-Bonnet gravity and its universality

Journal Article · Sat May 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.104026· OSTI ID:21409741

Dadhich, Naresh; Molina, Alfred; Khugaev, Avas ^[1]

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1. Inter-University Centre for Astronomy and Astrophysics, Post Bag 4 Pune 411 007 (India)

In Newtonian theory, gravity inside a constant density static sphere is independent of spacetime dimension. Interestingly this general result is also carried over to Einsteinian as well as higher order Einstein-Gauss-Bonnet (Lovelock) gravity notwithstanding their nonlinearity. We prove that the necessary and sufficient condition for universality of the Schwarzschild interior solution describing a uniform density sphere for all n{>=}4 is that its density is constant.

• OSTI ID: 21409741
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DENSITY
FLUIDS
GRAVITATION
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PHYSICAL PROPERTIES
SPACE-TIME
SPHERES