Statistics of the detection rates for tensor and scalar gravitational waves from the local galaxy universe

Abstract

We use data on the local 3-dimensional galaxy distribution for studying the statistics of the detection rates of gravitational waves (GW) coming from supernova explosions. We consider both tensor and scalar gravitational waves which are possible in a wide range of relativistic and quantum gravity theories. We show that statistics of GW events as a function of sidereal time can be used for distinction between scalar and tensor gravitational waves because of the anisotropy of spatial galaxy distribution. For calculation of the expected amplitudes of GW signals we use the values of the released GW energy, frequency and duration of GW pulse which are consistent with existing scenarios of SN core collapse. The amplitudes of the signals produced by Virgo and the Great Attractor clusters of galaxies is expressed as a function of the sidereal time for resonant bar detectors operating now (IGEC) and for forthcoming laser interferometric detectors (VIRGO).Then, we calculate the expected number of GW events as a function of sidereal time produced by all the galaxies within 100 Mpc. In the case of axisymmetric rotational core collapse which radiates a GW energy of $10^{-9}{M}_{\odot }{c}^2$, only the closest explosions can be detected. However, in the case of nonaxisymmetric supernova explosion, due to such phenomena as centrifugal hangup, bar and lump formation, the GW radiation could be as strong as that from a coalescing neutron-star binary. For radiated GW energy higher than $10^{-6}{M}_{\odot }{c}^2$ and sensitivity of detectors at the level $h\approx 10^{-23}$ it is possible to detect Virgo cluster and Great Attractor, and hence to use the statistics of GW events for testing gravity theories.

15 pages, 12 figures

References in corpus (4)

• Asymmetric Supernovae, Pulsars, Magnetars, and Gamma-Ray Bursts
• Jet-Induced Explosions of Core Collapse Supernovae
• Detection strategies for scalar gravitational waves with interferometers and resonant spheres
• A Catalog of Galaxies behind the Southern Milky Way. - I. The Hydra/Antlia Extension (l: 266 - 296 deg)

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• Sidereal time analysis as a toll for the study of the space distribution of sources of gravitational waves
• Einstein's Geometrical Versus Feynman's Quantum-Field Approaches to Gravity Physics: Testing by Modern Multimessenger Astronomy
• Polarization states of gravitational waves detected by LIGO-Virgo antennas
• Physics of Gravitational Interaction: Geometry of Space or Quantum Field in Space?