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          Institute: MPI für Gravitationsphysik     Collection: Quantum Gravity and Unified Theories     Display Documents



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ID: 330681.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Self-consistent solutions for low-frequency gravitational background radiation
Authors:Dautcourt, G.
Publisher:World Scientific
Place of Publication:Singapore [u.a.]
Date of Publication (YYYY-MM-DD):1997-12-09
Title of Proceedings:Marcel Grossmann Meeting on General Relativity
Name of Conference/Meeting:8th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories
Place of Conference/Meeting:Jerusalem, Israel
(Start) Date of Conference/Meeting
 (YYYY-MM-DD):
1997-06-22
End Date of Conference/Meeting 
 (YYYY-MM-DD):
1997-06-27
Review Status:not specified
Audience:Not Specified
Abstract / Description: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.
External Publication Status:published
Document Type:Conference-Paper
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
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