90 citations · 588 across the 17 of their papers we have counts for
17 papers
Conserved currents for Kerr and orthogonality of quasinormal modes
Stephen R. Green, Stefan Hollands, Laura Sberna +2
We introduce a bilinear form for Weyl scalar perturbations of Kerr. The form is symmetric and conserved, and we show that, when combined with a suitable renormalization prescriptio…
New metric reconstruction scheme for gravitational self-force calculations
Vahid Toomani, Peter Zimmerman, Andrew Spiers +3
Inspirals of stellar-mass objects into massive black holes will be important sources for the space-based gravitational-wave detector LISA. Modelling these systems requires calculat…
Horizon Instability of the Extremal BTZ Black Hole
Samuel E. Gralla, Arun Ravishankar, Peter Zimmerman
We study real-time propagation of a massive scalar field on the extremal BTZ black hole spacetime, focusing on the Aretakis instability of the event horizon. We obtain a simple tim…
Teukolsky formalism for nonlinear Kerr perturbations
Stephen R. Green, Stefan Hollands, Peter Zimmerman
We develop a formalism to treat higher order (nonlinear) metric perturbations of the Kerr spacetime in a Teukolsky framework. We first show that solutions to the linearized Einstei…
Semi-local Quantum Criticality and the Instability of Extremal Planar Horizons
Samuel E. Gralla, Arun Ravishankar, Peter Zimmerman
We show that the Aretakis instability of compact extremal horizons persists in the planar case of interest to holography and discuss its connection with the emergence of "semi-loca…
Scaling and Universality in Extremal Black Hole Perturbations
Samuel E. Gralla, Peter Zimmerman
We show that the emergent near-horizon conformal symmetry of extremal black holes gives rise to universal behavior in perturbing fields, both near and far from the black hole horiz…
Perturbations of Extremal Kerr Spacetime: Analytic Framework and Late-time Tails
Marc Casals, Peter Zimmerman
We develop a complete and systematic analytical approach to field perturbations of extremal Kerr spacetime based on the formalism of Mano, Suzuki and Takasugi (MST) for the Teukols…
Critical Exponents of Extremal Kerr Perturbations
Samuel E. Gralla, Peter Zimmerman
We show that scalar, electromagnetic, and gravitational perturbations of extremal Kerr black holes are asymptotically self-similar under the near-horizon, late-time scaling symmetr…
Horizon instability of extremal Reissner-Nordström black holes to charged perturbations
Peter Zimmerman
We investigate the stability of highly charged Reissner-Nordström black holes to charged scalar perturbations. We show that the near-horizon region exhibits a transient instability…
Transient Instability of Rapidly Rotating Black Holes
Samuel E. Gralla, Aaron Zimmerman, Peter Zimmerman
We analytically study the linear response of a near-extremal Kerr black hole to external scalar, electromagnetic, and gravitational field perturbations. We show that the energy den…
Horizon Instability of Extremal Kerr Black Holes: Nonaxisymmetric Modes and Enhanced Growth Rate
Marc Casals, Samuel E. Gralla, Peter Zimmerman
We show that the horizon instability of the extremal Kerr black hole is associated with a singular branch point in the Green function at the superradiant bound frequency. We study…
Plasma Waves and Jets from Moving Conductors
Samuel E. Gralla, Peter Zimmerman
We consider force-free plasma waves launched by the motion of conducting material through a magnetic field. We develop a spacetime-covariant formalism for perturbations of a unifor…
Gravitational self-force in scalar-tensor gravity
Peter Zimmerman
Motivated by the discovery of floating orbits and the potential to provide extra constraints on alternative theories, in this paper we derive the self-force equation for a small co…
Gravitational self-force in non-vacuum spacetimes: an effective field theory derivation
Peter Zimmerman
In this paper we investigate the motion of small compact objects in non-vacuum spacetimes using methods from effective field theory in curved spacetime. Although a vacuum formulati…
Gravitational self-force in nonvacuum spacetimes
Peter Zimmerman, Eric Poisson
The gravitational self-force has thus far been formulated in background spacetimes for which the metric is a solution to the Einstein field equations in vacuum. While this formulat…
Self-force as a cosmic censor
Peter Zimmerman, Ian Vega, Eric Poisson +1
We examine Hubeny's scenario according to which a near-extremal Reissner-Nordström black hole can absorb a particle and be driven toward an over-extremal state in which the charge…
The Effect of Eccentricity on Searches for Gravitational-Waves from Coalescing Compact Binaries in Ground-based Detectors
Duncan A. Brown, Peter J. Zimmerman
Inspiralling compact binaries are expected to circularize before their gravitational-wave signals reach the sensitive frequency band of ground-based detectors. Current searches for…