Exact solution for rotating black holes in parity-violating gravity
arXiv:2312.11899 · doi:10.1093/ptep/ptae046
Abstract
It has recently been pointed out that one can construct invertible conformal transformations with a parity-violating conformal factor, which can be employed to generate a novel class of parity-violating ghost-free metric theories from general relativity. We obtain exact solutions for rotating black holes in such theories by performing the conformal transformation on the Kerr solution in general relativity, which we dub conformal Kerr solutions. We explore the geodesic motion of a test particle in the conformal Kerr spacetime. While null geodesics remain the same as those in the Kerr spacetime, timelike geodesics exhibit interesting differences due to an effective external force caused by the parity-violating conformal factor.
19 pages, 8 figures
References in corpus (27)
- Light ring stability in ultra-compact objects
- Dynamical Chern-Simons Modified Gravity I: Spinning Black Holes in the Slow-Rotation Approximation
- New Extraction of the Cosmic Birefringence from the Planck 2018 Polarization Data
- Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
- The effects of Chern-Simons gravity on bodies orbiting the Earth
- Third order equations of motion and the Ostrogradsky instability
- Probing polarization states of primordial gravitational waves with CMB anisotropies
- How do Black Holes Spin in Chern-Simons Modified Gravity?
- Testing gravitational parity violation with coincident gravitational waves and short gamma-ray bursts
- Measuring a Parity Violation Signature in the Early Universe via Ground-based Laser Interferometers
- Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational waves
- Extended mimetic gravity: Hamiltonian analysis and gradient instabilities
- Perturbations of Schwarzschild Black Holes in Chern-Simons Modified Gravity
- Linear stability analysis of hairy black holes in quadratic degenerate higher-order scalar-tensor theories: Odd-parity perturbations
- Hairy black holes in DHOST theories: Exploring disformal transformation as a solution-generating method
- Analytical computation of quasi-normal modes of slowly-rotating black-holes in dCS gravity
- Polarized primordial gravitational waves in the ghost-free parity-violating gravity
- Rapidly rotating black holes in dynamical Chern-Simons gravity: Decoupling limit solutions and breakdown
- Rotating black holes without symmetry and their shadow images
- Does a black hole rotate in Chern-Simons modified gravity?
- Spontaneously scalarized black holes in dynamical Chern-Simons gravity: dynamics and equilibrium solutions
- Cosmological CPT Violation, Baryon/Leptogenesis and CMB Polarization
- Stable photon orbits in stationary axisymmetric electrovacuum spacetimes
- Circular orbits in the extreme Reissner-Nordstrøm dihole metric
- Parametrized test of parity-violating gravity using GWTC-1 events
- Innermost stable circular orbits in Majumdar--Papapetrou dihole spacetime
- Ghost-free resummation of gravitational interactions of a 2-form gauge field