Amplification of gravitational waves in scalar-tensor theories of gravity

Journal Article · Fri Oct 15 00:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.48.3630· OSTI ID:6042175

Barrow, J D; Mimoso, J P; Maia, M R.d.G. ^[1]

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1. Astronomy Centre, University of Sussex, Brighton BN19QH (United Kingdom)

The gravitational wave equation for a spatially flat Friedmann-Robertson-Walker universe is derived in the context of scalar-tensor theories of gravity, which have the Brans-Dicke theory as a particular case. This equation is solved for several cosmological scenarios, including the expansions governed by the Nariai as well as the Gurevich-Finkelstein-Ruban solutions of Brans-Dicke theory and for a new set of exact solutions of other scalar-tensor theories. The amplification of gravitational waves is studied in comparison to what happens in the general relativistic case. It is shown how the coupling with the scalar field changes the scales defining very large and very small wave numbers, and consequently the value of the amplification coefficient. It is found that very small values for the coupling parameter could lead to amplification of subhorizon waves. The creation of the corresponding high-frequency gravitons is explained as a response to the rapid time variation of the gravitational constant,'' which can occur near the singularity in some models. It is also shown that there could be amplification of waves even in a radiation-dominated universe in some cases, because the wave equation is not conformally invariant, except for the case of Nariai's solution in the Brans-Dicke theory.

• OSTI ID: 6042175
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 48:8; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Pa
GRAVITATIONAL WAVES
AMPLIFICATION
QUANTUM GRAVITY
SCALAR FIELDS
TENSOR FIELDS
COSMOLOGICAL MODELS
GRAVITONS
SINGULARITY
WAVE EQUATIONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
GRAVITATIONAL RADIATION
MASSLESS PARTICLES
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
RADIATIONS
662210* - Specific Theories & Interaction Models
Particle Systematics- Unified Theories & Models- (1992-)