Dirac perturbations on Schwarzschild-Anti-de Sitter spacetimes: Generic boundary conditions and new quasinormal modes
arXiv:1710.10461 · doi:10.1103/PhysRevD.96.104035
Abstract
We study Dirac quasinormal modes of Schwarzschild-Anti-de Sitter (Schwarzschild-AdS) black holes, following the generic principle for allowed boundary conditions proposed in \cite{PhysRevD.92.124006}. After deriving the equations of motion for Dirac fields on the aforementioned background, we impose vanishing energy flux boundary conditions to solve these equations. We find a set of two Robin boundary conditions are allowed. These two boundary conditions are used to calculate Dirac normal modes on empty AdS and quasinormal modes on Schwarzschild-AdS black holes. In the former case, we recover the known normal modes of empty AdS; in the latter case, the two sets of Robin boundary conditions lead to two different branches of quasinormal modes. The impact on these modes of the black hole size, the angular momentum quantum number and the overtone number are discussed. Our results show that vanishing energy flux boundary conditions are a robust principle, applicable not only to bosonic fields but also to fermionic fields.
arXiv comment12 pages, to appear in PRD(2017), references added
References in corpus (29)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
- GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
- Quasinormal modes of black holes and black branes
- GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
- Quasi-Normal Modes of Stars and Black Holes
- Quasinormal modes of black holes: from astrophysics to string theory
- Testing General Relativity with Present and Future Astrophysical Observations
- Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
- Kerr black holes with scalar hair
- Quasi-Normal Modes of Schwarzschild Anti-De Sitter Black Holes: Electromagnetic and Gravitational Perturbations
- Superradiant Instability and Backreaction of Massive Vector Fields around Kerr Black Holes
- Kerr black holes with Proca hair
- Quasinormal frequencies of Schwarzschild black holes in anti-de Sitter spacetimes: A complete study on the asymptotic behavior
- Gauge symmetry breaking on orbifolds
- Scalar Wave Falloff in Asymptotically Anti-de Sitter Backgrounds
- On quasinormal modes of small Schwarzschild-Anti-de-Sitter black hole
- Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS
- Boundary Conditions for Kerr-AdS Perturbations
- Breit-Wigner resonances and the quasinormal modes of anti-de Sitter black holes
- Bound states of the Dirac equation on Kerr spacetime
- Dirac quasinormal frequencies in Schwarzschild-AdS space-time
- Maxwell perturbations on Kerr-anti-de Sitter: quasinormal modes, superradiant instabilities and vector clouds
- Hawking radiation for a Proca field in D-dimensions
- Kerr-AdS and its Near-horizon Geometry: Perturbations and the Kerr/CFT Correspondence
- Maxwell perturbations on asymptotically anti-de Sitter spacetimes: Generic boundary conditions and a new branch of quasinormal modes
- The Dirac particle on central backgrounds and the anti-de Sitter oscillator
- The massive Dirac field on a rotating black hole spacetime: Angular solutions
- Hawking radiation for a Proca field in D dimensions II: charged field in a brane charged black hole
Cited by in corpus (11)
- Quasinormal modes of massive fermions in Kerr spacetime: Long-lived modes and the fine structure
- Long-lived Quasinormal modes around regular black holes and wormholes in Covariant Effective Quantum Gravity
- Maxwell quasinormal modes on a global monopole Schwarzschild-anti-de Sitter black hole with Robin boundary conditions
- Bifurcation of the Maxwell quasinormal spectrum on asymptotically anti-de Sitter black holes
- Maxwell perturbations in a cavity with Robin boundary conditions: two branches of modes with spectrum bifurcation on Schwarzschild black holes
- Charged Dirac perturbations on Reissner-Nordström-Anti-de Sitter spacetimes: quasinormal modes with Robin boundary conditions
- Hunting for fermionic instabilities in charged AdS black holes
- Master equations and Quasi-normal modes of spin-3/2 fields in Schwarzschild (A)dS black hole spacetimes
- A new (original) set of Quasi-normal modes in spherically symmetric AdS black hole spacetimes
- Quasinormal modes for integer and half-integer spins within the large angular momentum limit
- Quasinormal modes of Reissner-Nordström-AdS black holes under physical field-vanishing boundary conditions