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Title: Gauge-invariant definition of gravitational radiation in Robertson-Walker cosmologies

Abstract

Gauge-invariant quantities are introduced which relate directly to the ideal fluid perturbations in Robertson-Walker backgrounds. It is shown how the vanishing of these gauge invariants is equivalent to the definition of purely radiative perturbations found in some early works. If one imposes a regularity condition, then the vanishing of just four gauge invariants is sufficient to define the condition of no perturbation of matter. The latter result is used to clarify the relationship to Hawking's definition of gravitational radiation.

Authors:
Publication Date:
Research Org.:
Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
OSTI Identifier:
5496708
Resource Type:
Journal Article
Journal Name:
Phys. Rev. D; (United States)
Additional Journal Information:
Journal Volume: 25:8
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GRAVITATIONAL RADIATION; GAUGE INVARIANCE; COSMOLOGICAL MODELS; EINSTEIN FIELD EQUATIONS; METRICS; PERTURBATION THEORY; SPACE-TIME; EQUATIONS; FIELD EQUATIONS; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; RADIATIONS; 640106* - Astrophysics & Cosmology- Cosmology; 645400 - High Energy Physics- Field Theory

Citation Formats

Niedra, J M. Gauge-invariant definition of gravitational radiation in Robertson-Walker cosmologies. United States: N. p., 1982. Web. doi:10.1103/PhysRevD.25.2049.
Niedra, J M. Gauge-invariant definition of gravitational radiation in Robertson-Walker cosmologies. United States. https://doi.org/10.1103/PhysRevD.25.2049
Niedra, J M. 1982. "Gauge-invariant definition of gravitational radiation in Robertson-Walker cosmologies". United States. https://doi.org/10.1103/PhysRevD.25.2049.
@article{osti_5496708,
title = {Gauge-invariant definition of gravitational radiation in Robertson-Walker cosmologies},
author = {Niedra, J M},
abstractNote = {Gauge-invariant quantities are introduced which relate directly to the ideal fluid perturbations in Robertson-Walker backgrounds. It is shown how the vanishing of these gauge invariants is equivalent to the definition of purely radiative perturbations found in some early works. If one imposes a regularity condition, then the vanishing of just four gauge invariants is sufficient to define the condition of no perturbation of matter. The latter result is used to clarify the relationship to Hawking's definition of gravitational radiation.},
doi = {10.1103/PhysRevD.25.2049},
url = {https://www.osti.gov/biblio/5496708}, journal = {Phys. Rev. D; (United States)},
number = ,
volume = 25:8,
place = {United States},
year = {Thu Apr 15 00:00:00 EST 1982},
month = {Thu Apr 15 00:00:00 EST 1982}
}