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Self-consistent solutions for low-frequency gravitational background radiation

Dautcourt, G. (1997). Self-consistent solutions for low-frequency gravitational background radiation. In T. Piran (), Marcel Grossmann Meeting on General Relativity. Singapore [u.a.]: World Scientific.

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gr-qc-9712042.pdf (Preprint), 69KB
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Creators:
Dautcourt, G.1, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24012

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Abstract: We study in a Brill-Hartle type of approximation the back-reaction of a superposition of linear gravitational waves in an Einstein-de Sitter background up to the second order in the small wave amplitudes $h_{ik}$. The wave amplitudes are assumed to form a homogeneous and isotropic stochastic process. No restriction for the wavelengths is assumed. The effective stress-energy tensor $T^{e}_{\mu\nu}$ is calculated in terms of the correlation functions of the process. We discuss in particular a situation where $T^{e}_{\mu\nu}$ is the dominant excitation of the background metric. Apart from the Tolman radiation universe, a solution with the scale factor of the de Sitter universe exists with $p = -\rho$ as effective equation of state.

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Dates: 1997-12-09
Publication Status: Published in print
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Identifiers: eDoc: 330681
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Title: 8th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories
Place of Event: Jerusalem, Israel
Start-/End Date: 1997-06-22 - 1997-06-27

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Title: Marcel Grossmann Meeting on General Relativity
Source Genre: Proceedings
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Piran, Tsvi, Editor
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Publ. Info: Singapore [u.a.] : World Scientific
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