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2017

The mass and angular momentum of reconstructed metric perturbations

van de Meent, Maarten

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We prove a key result regarding the mass and angular momentum content of linear vacuum perturbations of the Kerr metric obtained through the formalism developed by Chrzarnowski, Cohen, and Kegeles (CCK).

More precisely we prove that the Abbott-Deser mass and angular momentum integrals of any such perturbation vanish, when that perturbation was obtained from a regular Fourier mode of the Hertz potential.
As a corollary we obtain a generalization of previous results on the completion of the `no string' radiation gauge metric perturbation generated by a point particle.
We find that for any bound orbit around a Kerr black hole, the mass and angular momentum perturbations completing the CCK metric are simply the energy and angular momentum of the particle "outside" the orbit and vanish "inside" the orbit.

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2010

Cited alongside, same era.

Abhay G. Shah, Tobias S. Keidl, John L. Friedman, Dong-Hoon Kim, and Larry R. Price, “Conservative, gravitational self-force for a particle in circular orbit around a Schwarzschild black hole in a Radiation Gauge,” Phys. Rev. D 83

2011

Cited alongside, same era.

Abhay G. Shah, John L. Friedman, and Tobias S. Keidl, “EMRI corrections to the angular velocity and redshift factor of a mass in circular orbit about a Kerr black hole,” Phys. Rev. D 86

2012

Cited alongside, same era.

Eanna E. Flanagan and Tanja Hinderer, “Transient resonances in the inspirals of point particles into black holes,” Phys. Rev. Lett. 109

2012

Cited alongside, same era.

Sam R. Dolan and Leor Barack, “Self-force via m m -mode regularization and 2+1D evolution: III. Gravitational field on Schwarzschild spacetime,” Phys. Rev. D 87

2013

Cited alongside, same era.

Adam Pound, Maarten van de Meent, and Abhay G Shah, “Pseudo-invariants from radiation gauge self-force calculations,” (unpublished)

Cited in the paper.

Maarten van de Meent, “Conditions for Sustained Orbital Resonances in Extreme Mass Ratio Inspirals,” Phys. Rev. D 89

Original

Cited in the paper.

Maarten van de Meent, “Resonantly enhanced kicks from equatorial small mass-ratio inspirals,” Phys. Rev. D 90

Cited in the paper.

2015

Later among the works it cites.

Maarten van de Meent, “Gravitational self-force on eccentric equatorial orbits around a Kerr black hole,” Phys. Rev. D 94

2016

Later among the works it cites.

Cesar Merlin, Amos Ori, Leor Barack, Adam Pound, and Maarten van de Meent, “Completion of metric reconstruction for a particle orbiting a Kerr black hole,” Phys. Rev. D 94

2016

Later among the works it cites.

Maarten van de Meent, “Self-force corrections to the periapsis advance around a spinning black hole,” Phys. Rev. Lett. 118

2017

Closest in time.

LISA Consortium, “LISA: Laser interferometer space antenna,” (2017)

2017

Closest in time.