Averaging spherically symmetric spacetimes in general relativity
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 inhomog...
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| Veröffentlicht in: | Physical review. D, Particles and fields Particles and fields, 2006-10, Vol.74 (8), Article 087301 |
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| container_title | Physical review. D, Particles and fields |
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| creator | Coley, A. A. Pelavas, N. |
| description | 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. |
| doi_str_mv | 10.1103/PhysRevD.74.087301 |
| format | Article |
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| ispartof | Physical review. D, Particles and fields, 2006-10, Vol.74 (8), Article 087301 |
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| language | eng |
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| source | American Physical Society Journals |
| subjects | ANISOTROPY COORDINATES CORRELATIONS COSMOLOGY DISTRIBUTION FIELD EQUATIONS FLUIDS GENERAL RELATIVITY THEORY GRAVITATION GRAVITATIONAL FIELDS PHYSICS OF ELEMENTARY PARTICLES AND FIELDS SPACE-TIME SPHERICAL CONFIGURATION SYMMETRY TENSORS |
| title | Averaging spherically symmetric spacetimes in general relativity |
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