Black hole multipoles in higher-derivative gravity
Copyright policy )Black hole multipoles in higher-derivative gravity
Abstract We consider a broad family of higher-derivative extensions of four-dimensional Einstein gravity and study the multipole moments of rotating black holes therein. We carefully show that the various definitions of multipoles carry over from general relativity, and compute these multipoles for higher-derivative Kerr using the ACMC expansion formalism. We obtain the mass Mn and current Sn multipoles as a series expansions in the dimensionless spin; in some cases we are able to resum these series into closed-form expressions. Moreover, we observe the existence of intriguing relations between the corrections to the parity-odd multipoles S2n ≠ 0 and M2n+1 ≠ 0 that break equatorial symmetry, and the parity-preserving corrections that only modify S2n+1 and M2n. Further, we comment on the higher-derivative corrections to multipole ratios for Kerr, and we discuss the phenomenological implications of the corrections to the multipole moments for current and future gravitational wave experiments.
- UNIVERSITE PARIS-SACLAY France
- KU Leuven Belgium
- University of Paris-Saclay France
- University Paris-Saclay
- KU Leuven Belgium
black hole: rotation, High Energy Physics - Theory, dimension: 4, family, gravitation: model, QC770-798, Methods of quantum field theory in general relativity and gravitational theory, spin, expansion: multipole, symmetry breaking, GRAVITATIONAL-WAVES, General Relativity and Quantum Cosmology, Physics, Particles & Fields, MOMENTS, general relativity, effective field theories, Einstein's equations (general structure, canonical formalism, Cauchy problems), 0105 Mathematical Physics, [PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], Black holes, Physics, Effective Field Theories, String and superstring theories in gravitational theory, Nuclear & Particles Physics, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, parity, resummation, Kerr, Physical Sciences, 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics, gravitation: higher-order, Black Holes, FOS: Physical sciences, derivative: high, black holes in string theory, General Relativity and Quantum Cosmology (gr-qc), 5107 Particle and high energy physics, Nuclear and particle physics. Atomic energy. Radioactivity, Black Holes in String Theory, 4902 Mathematical physics, FORMULATION, 0206 Quantum Physics, Science & Technology, gravitational radiation, black holes, High Energy Physics - Theory (hep-th), Einstein, [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], 5106 Nuclear and plasma physics
black hole: rotation, High Energy Physics - Theory, dimension: 4, family, gravitation: model, QC770-798, Methods of quantum field theory in general relativity and gravitational theory, spin, expansion: multipole, symmetry breaking, GRAVITATIONAL-WAVES, General Relativity and Quantum Cosmology, Physics, Particles & Fields, MOMENTS, general relativity, effective field theories, Einstein's equations (general structure, canonical formalism, Cauchy problems), 0105 Mathematical Physics, [PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], Black holes, Physics, Effective Field Theories, String and superstring theories in gravitational theory, Nuclear & Particles Physics, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, parity, resummation, Kerr, Physical Sciences, 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics, gravitation: higher-order, Black Holes, FOS: Physical sciences, derivative: high, black holes in string theory, General Relativity and Quantum Cosmology (gr-qc), 5107 Particle and high energy physics, Nuclear and particle physics. Atomic energy. Radioactivity, Black Holes in String Theory, 4902 Mathematical physics, FORMULATION, 0206 Quantum Physics, Science & Technology, gravitational radiation, black holes, High Energy Physics - Theory (hep-th), Einstein, [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], 5106 Nuclear and plasma physics
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