Volume 116, Number 6, December 2016
|Number of page(s)||5|
|Published online||24 January 2017|
Measuring the dimensionality of compact extra dimensions with inspiral gravitational waves from black-hole binaries
1 Department of Geophysics, School of the Geology Engineering and Geomatics, Chang'an University Xi'an, 710064, China
2 Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences Beijing, 100190, China
3 Morningside Center of Mathematics, Chinese Academy of Sciences - Beijing, 100190, China
Received: 14 December 2016
Accepted: 12 January 2017
Gravitational waves from coalescing black-hole binaries (BHBs) were recently observed by the advanced LIGO detectors. Based on the perturbation analysis, for general Kaluza-Klein theories with compact extra dimensions, we find a 1st-order post-Newtonian correction to the inspiral gravitational waveforms of black-hole binaries, that comes from the variations of the volume of the extra dimensions in near source zones. Such correction depends on a new parameter with n the dimensionality of the extra space and it is irrelevant to the particular choice of the topology of the extra space. For the ideal case of a black-hole binary system following nearly circular orbital motion with almost equal or intermediate mass ratio, such higher-dimensional corrections to the chirping amplitude are worked out. Giving the power of tracing inspiral waves from coalescing massive BHBs with high signal-to-noise ratios, the planned space-borne antennas such as the eLISA and DECIGO may give us a measurement of the parameter χ in the near future and may serve us as new probes in the searching for the evidence of the hidden compact dimensions.
PACS: 04.50.Cd – Kaluza-Klein theories / 04.30.Db – Wave generation and sources / 04.25.Nx – Post-Newtonian approximation; perturbation theory; related approximations
© EPLA, 2016
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