Averaging spherically symmetric spacetimes in general relativity

Journal Article · Sun Oct 15 00:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.087301· OSTI ID:20871472

Coley, A A; Pelavas, N ^[1]

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1. Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia (Canada)

We discuss the averaging problem in general relativity, using the form of the macroscopic gravity equations in the case of spherical symmetry in volume preserving coordinates. In particular, we calculate the form of the correlation tensor under some reasonable assumptions on the form for the inhomogeneous gravitational field and matter distribution. On cosmological scales, the correlation tensor in a Friedmann-Lemaitre-Robertson-Walker (FLRW) background is found to be of the form of a spatial curvature. On astrophysical scales the correlation tensor can be interpreted as the sum of a spatial curvature and an anisotropic fluid. We briefly discuss the physical implications of these results.

• OSTI ID: 20871472
• Journal Information: Physical Review. D, Particles Fields, Vol. 74, Issue 8; Other Information: DOI: 10.1103/PhysRevD.74.087301; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANISOTROPY
COORDINATES
CORRELATIONS
COSMOLOGY
DISTRIBUTION
FIELD EQUATIONS
FLUIDS
GENERAL RELATIVITY THEORY
GRAVITATION
GRAVITATIONAL FIELDS
SPACE-TIME
SPHERICAL CONFIGURATION
SYMMETRY
TENSORS