On Gravitational Waves in Spacetimes with a Nonvanishing Cosmological Constant

Details On Gravitational Waves in Spacetimes with a Nonvanishing Cosmological Constant On Gravitational Waves in Spacetimes with a Nonvanishing Cosmological Constant

2008-10-30

arxiv.org/abs/0810.5426v1

Phys.Rev.D79:024014,2009

Astronomy and Astrophysics

Astrophysics

8 pages, 4 figures, accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.79.024014

We study the effect of a cosmological constant $\Lambda$ on the propagation and detection of gravitational waves. To this purpose we investigate the linearised Einstein's equations with terms up to linear order in $\Lambda$ in a de Sitter and an anti-de Sitter background spacetime. In this framework the cosmological term does not induce changes in the polarization states of the waves, whereas the amplitude gets modified with terms depending on $\Lambda$. Moreover, if a source emits a periodic waveform, its periodicity as measured by a distant observer gets modified. These effects are, however, extremely tiny and thus well below the detectability by some twenty orders of magnitude within present gravitational wave detectors such as LIGO or future planned ones such as LISA.

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