Black hole mergers, gravitational waves and scaling relations. (arXiv:1911.10219v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Arbey_A/0/1/0/all/0/1">Alexandre Arbey</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Coupechoux_J/0/1/0/all/0/1">Jean-François Coupechoux</a>
Observations of gravitational waves provide new opportunities to study our
Universe. In particular, mergers of stellar black holes are the main targets of
the current gravitational wave experiments. In order to make accurate
predictions, it is however necessary to simulate the mergers in numerical
general relativity, which requires high performance computing. Yet numerical
simulation codes are optimized for specific mass scales, and may not be adapted
to the study of other mass scales. In particular, primordial black holes can
have masses ranging from the Planck mass to millions of solar masses, and
simulations of primordial black hole mergers over the whole mass range are
currently beyond the capabilities of the numerical codes. In this letter, we
derive scaling relations, which can be used to rescale simulations of stellar
black hole mergers and gravitational waves to any mass scale, hence allowing to
perform precise simulations at any mass scale. In addition we study the domain
of validity of the rescaling.
Observations of gravitational waves provide new opportunities to study our
Universe. In particular, mergers of stellar black holes are the main targets of
the current gravitational wave experiments. In order to make accurate
predictions, it is however necessary to simulate the mergers in numerical
general relativity, which requires high performance computing. Yet numerical
simulation codes are optimized for specific mass scales, and may not be adapted
to the study of other mass scales. In particular, primordial black holes can
have masses ranging from the Planck mass to millions of solar masses, and
simulations of primordial black hole mergers over the whole mass range are
currently beyond the capabilities of the numerical codes. In this letter, we
derive scaling relations, which can be used to rescale simulations of stellar
black hole mergers and gravitational waves to any mass scale, hence allowing to
perform precise simulations at any mass scale. In addition we study the domain
of validity of the rescaling.
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