Slowly rotating black hole in chiral scalar-tensor theory
arXiv:2502.19836 · doi:10.1140/epjc/s10052-025-14096-y
Abstract
The chiral scalar-tensor theory is an extension of the Chern-Simons modified gravity by introducing couplings between the first and second derivatives of the scalar field and parity-violating spacetime curvatures. A key feature of this theory is its explicit breaking of parity symmetry in the gravitational sector, which is expected to affect the spatial-time component of axisymmetric spacetime. In this paper, we investigate the effects of the chiral scalar-tensor theory on slowly rotating black holes by building on known solutions in the dynamical Chern-Simons modified gravity. Using perturbative methods with small coupling and slow rotation approximations, we find that the contributions of the chiral scalar-tensor theory appear at quadratic order in the spin and cubic order in the coupling constants. Furthermore, we explore the properties of this solution in the weak field and check its ergosphere and horizon. In the weak limit, we find that the effects of parity violation are suppressed in the weak field but could become significant in the strong field regime. These results provide insights into the behavior of parity-violating gravity in the presence of rotation and may be used for further investigations into its observational signatures.
13 pages
References in corpus (55)
- The Confrontation between General Relativity and Experiment
- Quantum Gravity at a Lifshitz Point
- Measuring Distance and Properties of the Milky Way's Central Supermassive Black Hole with Stellar Orbits
- Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
- Chern-Simons Modification of General Relativity
- Chern-Simons Modified General Relativity
- Testing General Relativity with Pulsar Timing
- Dynamical Chern-Simons Modified Gravity I: Spinning Black Holes in the Slow-Rotation Approximation
- Slowly Rotating Black Holes in Dynamical Chern-Simons Gravity: Deformation Quadratic in the Spin
- Slowly-Rotating Black Holes in Einstein-Dilaton-Gauss-Bonnet Gravity: Quadratic Order in Spin Solutions
- The effects of Chern-Simons gravity on bodies orbiting the Earth
- Rotating black holes in Einstein-Dilaton-Gauss-Bonnet gravity with finite coupling
- Progress in Measurements of the Gravitational Bending of Radio Waves Using the VLBA
- Rotating black hole in extended Chern-Simons modified gravity
- Leading higher-derivative corrections to Kerr geometry
- Beyond Lovelock gravity: Higher derivative metric theories
- Testing gravitational parity violation with coincident gravitational waves and short gamma-ray bursts
- A rapidly-changing jet orientation in the stellar-mass black hole V404 Cygni
- General-relativistic precession in a black-hole binary
- Slowly-rotating stars and black holes in dynamical Chern-Simons gravity
- Isolated and Binary Neutron Stars in Dynamical Chern-Simons Gravity
- Precessing jet nozzle connecting to a spinning black hole in M87
- Waveform of gravitational waves in the general parity-violating gravities
- A new PPN parameter to test Chern-Simons gravity
- Prospects for direct detection of circular polarization of gravitational-wave background
- Gravitational Waves Probes of Parity Violation in Compact Binary Coalescence
- Polarizing primordial gravitational waves by parity violation
- Lense-Thirring frame dragging induced by a fast-rotating white dwarf in a binary pulsar system
- Parametrized Post-Newtonian Expansion of Chern-Simons Gravity
- Non-perturbative spinning black holes in dynamical Chern-Simons gravity
- Parity-Violating Gravity and GW170817 in Non-Riemannian Cosmology
- Double Binary Pulsar Test of Dynamical Chern-Simons Modified Gravity
- Propagation of the gravitational waves in a cosmological background
- Waveform of gravitational waves in the ghost-free parity-violating gravities
- Probing Gravitational Parity Violation with Gravitational Waves from Stellar-mass Black Hole Binaries
- An Improved Test of the General Relativistic Effect of Frame-Dragging Using the LARES and LAGEOS Satellites
- Geodesic models of quasi-periodic-oscillations as probes of quadratic gravity
- Gravitational wave constraints on Lorentz and parity violations in gravity: high-order spatial derivative cases
- Gravitational-Wave Implications for the Parity Symmetry of Gravity at GeV Scale
- Constraints on the Nieh-Yan modified teleparallel gravity with gravitational waves
- Does a black hole rotate in Chern-Simons modified gravity?
- A simple parity violating model in the symmetric teleparallel gravity and its cosmological perturbations
- Revisiting the double-binary-pulsar probe of non-dynamical Chern-Simons gravity
- Testing parity symmetry of gravity with gravitational waves
- Model-independent test of the parity symmetry of gravity with gravitational waves
- The exact dynamical Chern Simons metric for a spinning black hole possesses a fourth constant of motion: A Dynamical-Systems-Based Conjecture
- Polarized primordial gravitational waves in spatial covariant gravities
- Gravitational wave constraints on spatial covariant gravities
- Post-Newtonian parameters of ghost-free parity-violating gravities
- Constraints on parity and Lorentz violations in gravity from GWTC-3 through a parametrization of modified gravitational wave propagations
- Parametrized post-Newtonian limit of the Nieh-Yan modified teleparallel gravity
- Spatially covariant gravity with nonmetricity
- Gravitational Radiation from Eccentric Binary Black Hole System in Dynamical Chern-Simons Gravity
- Black hole scalarizations induced by parity violations
- Constraints on the ghost-free parity-violating gravity from Laser-ranged Satellites