Overlap reduction function for pulsar timing arrays in an expanding Universe

Since it was confirmed two decades ago that the expansion of the Universe is accelerating, it would be of theoretical interests to figure out what is the influence from cosmological constant on detection of stochastic gravitational wave background. This paper studies the overlap reduction functions...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2024-01, Vol.84 (1), p.2-10, Article 2
Main Author: Zhu, Qing-Hua
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Cosmological constant
Cosmology
Dark energy
Detectors
Elementary Particles
Gravitational waves
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Phase transitions
Physics
Physics and Astronomy
Pulsars
Quantum Field Theories
Quantum Field Theory
Reduction
Regular Article - Theoretical Physics
Sensors
Spacetime
String Theory
Universe
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Summary:Since it was confirmed two decades ago that the expansion of the Universe is accelerating, it would be of theoretical interests to figure out what is the influence from cosmological constant on detection of stochastic gravitational wave background. This paper studies the overlap reduction functions in de-Sitter space-time for a pair of one-way tracking gravitational wave detectors. It is shown to be non-trivial in an expanding Universe, because the propagation of light along line of sight also has effect on the response of GW detectors. It is found that the expansion of the Universe can enhance the value of magnitude of the overlap reduction functions, when the detector pairs are close to each other. For nanohertz gravitational waves, this effect can dominate the values of overlap reduction functions when the galactic pulsar pairs are separated by milliarcsecond.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-023-12370-5