Exploring Ladder Symmetry and Love Numbers for Static and Rotating Black Holes
arXiv:2401.00703 · doi:10.1103/PhysRevD.109.L041505
Abstract
Black hole solutions of general relativity exhibit a symmetry for the static perturbations around these spacetimes, known as "ladder symmetry". This symmetry proves useful in constructing a tower of solutions for perturbations and elucidating their general properties. Specifically, the presence of this symmetry leads to vanishing of the tidal love number associated with black holes. In this work, we find the most general spherical symmetric and static black hole spacetime that accommodates this ladder symmetry for scalar perturbation. Furthermore, we extend our calculations beyond spherical symmetry to find the class of stationary Konoplya-Rezzolla-Zhidenko black holes, which also possess a similar ladder structure.
Title changed, References added, Matches with the version to be published in Physical Review D as a Letter
References in corpus (15)
- Relativistic theory of tidal Love numbers
- New parametrization for spherically symmetric black holes in metric theories of gravity
- No-hair theorem for Black Holes in Astrophysical Environments
- On the Vanishing of Love Numbers for Kerr Black Holes
- When is g_{tt} g_{rr} = -1?
- Ladder Symmetries of Black Holes: Implications for Love Numbers and No-Hair Theorems
- Tidal deformability of dressed black holes and tests of ultralight bosons in extended mass ranges
- Near-Zone Symmetries of Kerr Black Holes
- Modelling frequency-dependent tidal deformability for environmental black-hole mergers
- Tidal response from scattering and the role of analytic continuation
- Non-linearities in the tidal Love numbers of black holes
- Scalar Love numbers and Love symmetries of 5-dimensional Myers-Perry black holes
- Vanishing Love of Black Holes in General Relativity: From Spacetime Conformal Symmetry of a Two-dimensional Reduced Geometry
- Ladder Symmetries of Black Holes and de Sitter Space: Love Numbers and Quasinormal Modes
- Dynamical Love for area quantized black holes
Cited by in corpus (15)
- Tidal Love Numbers from EFT of Black Hole Perturbations with Timelike Scalar Profile
- Tidal Love numbers and approximate universal relations for fermion soliton stars
- Running Love Numbers and the Effective Field Theory of Gravity
- Rotating black holes experience dynamical tides
- Scalar tidal response of a rotating BTZ black hole
- Love symmetry in higher-dimensional rotating black hole spacetimes
- Systematic biases from ignoring environmental tidal effects in gravitational wave observations
- Fermionic Love of Black Holes in General Relativity
- Dynamical Tidal Response of Non-rotating Black Holes: Connecting the MST Formalism and Worldline EFT
- Response of a Kerr black hole to a generic tidal perturbation
- Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory
- Ladder Symmetry: The Necessary and Sufficient Condition for Vanishing Love Numbers
- Repetitive Penrose process in Konoplya-Zhidenko rotating non-Kerr black holes
- On the logarithmic Love number of black holes beyond general relativity
- Bosonic and Fermionic love number of static acoustic black hole