Overlap reduction function for gravitational wave detectors in an expanding Universe

Abstract

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.

10 pages, 3 figures

References in corpus (24)

• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Advanced LIGO
• The trouble with $H_0$
• The stochastic gravitational-wave background from massive black hole binary systems: implications for observations with Pulsar Timing Arrays
• Upper Limits on the Isotropic Gravitational-Wave Background from Advanced LIGO's and Advanced Virgo's Third Observing Run
• On the evidence for a common-spectrum process in the search for the nanohertz gravitational-wave background with the Parkes Pulsar Timing Array
• Common-red-signal analysis with 24-yr high-precision timing of the European Pulsar Timing Array: Inferences in the stochastic gravitational-wave background search
• Probing non-tensorial polarizations of stochastic gravitational-wave backgrounds with ground-based laser interferometers
• Constraints on cosmic strings using data from the third Advanced LIGO-Virgo observing run
• Primordial gravitational waves from NANOGrav: a broken power-law approach
• Searching For Gravitational Waves From Cosmological Phase Transitions With The NANOGrav 12.5-year dataset
• Search for anisotropic gravitational-wave backgrounds using data from Advanced LIGO and Advanced Virgo's first three observing runs
• Detecting massive gravitons using pulsar timing arrays
• Non-tensorial Gravitational Wave Background in NANOGrav 12.5-Year Data Set
• The Cosmological Memory Effect
• Gravitational wave memory in $\Lambda$CDM cosmology
• The effect of small inter-pulsar distance variations in stochastic gravitational wave background searches with Pulsar Timing Arrays
• Detecting the Stochastic Gravitational Wave Background from Massive Gravity with Pulsar Timing Arrays
• Gravitational Wave Timing Array
• Pulse redshift of pulsar timing array signals for all possible gravitational wave polarizations in modified general relativity
• Gravitational wave non-linearities and pulsar-timing array angular correlations
• Analytic series expansion of the overlap reduction function for gravitational wave search with pulsar timing arrays
• Local measurement of Λ using pulsar timing arrays
• Non-linear corrections of overlap reduction functions for pulsar timing arrays

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