Tidal Deformation and Dissipation of Rotating Black Holes
| Autor: | Horng Sheng Chia |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
High Energy Physics - Theory High Energy Astrophysical Phenomena (astro-ph.HE) Field (physics) Gravitational wave General relativity Event horizon FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) General Relativity and Quantum Cosmology Black hole High Energy Physics - Phenomenology Classical mechanics High Energy Physics - Phenomenology (hep-ph) Gravitational field High Energy Physics - Theory (hep-th) Boundary value problem Astrophysics::Earth and Planetary Astrophysics Multipole expansion Astrophysics - High Energy Astrophysical Phenomena |
| DOI: | 10.48550/arxiv.2010.07300 |
| Popis: | We show that rotating black holes do not experience any tidal deformation when they are perturbed by a weak and adiabatic gravitational field. The tidal deformability of an object is quantified by the so-called "Love numbers", which describe the object's linear response to its external tidal field. In this work, we compute the Love numbers of Kerr black holes and find that they vanish identically. We also compute the dissipative part of the black hole's tidal response, which is non-vanishing due to the absorptive nature of the event horizon. Our results hold for arbitrary values of black hole spin, for both the electric-type and magnetic-type perturbations, and to all orders in the multipole expansion of the tidal field. The boundary conditions at the event horizon and at asymptotic infinity are incorporated in our study, as they are crucial for understanding the way in which these tidal effects are mapped onto gravitational-wave observables. In closing, we address the ambiguity issue of Love numbers in General Relativity, which we argue is resolved when those boundary conditions are taken into account. Our findings provide essential inputs for current efforts to probe the nature of compact objects through the gravitational waves emitted by binary systems. Comment: 6+1 pages, 1 figure; updated to match published version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|