Square Peg in a Circular Hole: Choosing the Right Ansatz for Isolated Black Holes in Generic Gravitational Theories
arXiv:2103.03925 · doi:10.1103/PhysRevLett.126.241104
Abstract
The metric of a spacetime can be greatly simplified if the spacetime is circular. We prove that in generic effective theories of gravity, the spacetime of a stationary, axisymmetric and asymptotically flat solution must be circular if the solution can be obtained perturbatively from a solution in the general relativity limit. This result applies to a broad class of gravitational theories that include arbitrary scalars and vectors in their light sector, so long as their nonstandard kinetic terms and nonmininal couplings to gravity are treated perturbatively.
arXiv comment7+5 pages, 1 figure, text and references updated, v2 matches version published in PRL
References in corpus (69)
- f(R) Theories Of Gravity
- Testing General Relativity with Present and Future Astrophysical Observations
- Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
- Kerr black holes with scalar hair
- Chern-Simons Modification of General Relativity
- Chern-Simons Modified General Relativity
- Dilatonic Black Holes in Higher Curvature String Gravity
- Spontaneous scalarization of black holes and compact stars from a Gauss-Bonnet coupling
- Horndeski theory and beyond: a review
- New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
- Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
- Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
- Prospects for Fundamental Physics with LISA
- Generalization of the Proca Action
- Dynamical Chern-Simons Modified Gravity I: Spinning Black Holes in the Slow-Rotation Approximation
- Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown
- Testing General Relativity with Low-Frequency, Space-Based Gravitational-Wave Detectors
- Rotating Black Holes in Dilatonic Einstein-Gauss-Bonnet Theory
- Are black holes in alternative theories serious astrophysical candidates? The case for Einstein-Dilaton-Gauss-Bonnet black holes
- Non-Spinning Black Holes in Alternative Theories of Gravity
- Cosmic Acceleration from Abelian Symmetry Breaking
- Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (I) Inspiral-Merger
- Charged black holes in effective string theory
- 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
- Black Hole Based Tests of General Relativity
- Slowly rotating black holes in alternative theories of gravity
- Black holes in an Effective Field Theory extension of GR
- Rotating black holes in Einstein-Dilaton-Gauss-Bonnet gravity with finite coupling
- Generalized Proca action for an Abelian vector field
- Testing General Relativity with the Event Horizon Telescope
- An effective formalism for testing extensions to General Relativity with gravitational waves
- Rotating black hole in extended Chern-Simons modified gravity
- Challenging the Presence of Scalar Charge and Dipolar Radiation in Binary Pulsars
- Leading higher-derivative corrections to Kerr geometry
- Black holes in Lorentz-violating gravity theories
- Black hole hair formation in shift-symmetric generalised scalar-tensor gravity
- Covariant methods for the calculation of the effective action in quantum field theory and investigation of higher-derivative quantum gravity
- Post-Newtonian dynamics and black hole thermodynamics in Einstein-scalar-Gauss-Bonnet gravity
- Slowly rotating black hole solutions in Horndeski gravity
- Rotating Black Holes in Higher Order Gravity
- Rotating Hairy Black Holes
- Slowly rotating black holes in Einstein-æther theory
- The Initial Value Formulation of Dynamical Chern-Simons Gravity
- The Speed of Gravity
- Perturbations of Stealth Black Holes in DHOST Theories
- On the 4D generalized Proca action for an Abelian vector field
- Scalarized Black Hole dynamics in Einstein dilaton Gauss-Bonnet Gravity
- Black Hole Gravitational Waves in the Effective Field Theory of Gravity
- Gravitational Collapse in Einstein dilaton Gauss-Bonnet Gravity
- Instability of hairy black holes in shift-symmetric Horndeski theories
- Gravitational-Wave Constraints on an Effective Field-Theory Extension of General Relativity
- Non-perturbative spinning black holes in dynamical Chern-Simons gravity
- Hamiltonian vs stability and application to Horndeski theory
- Physical Properties of Four Dimensional Superstring Gravity Black Hole Solutions
- General Relativity solutions in modified gravity
- Rapidly rotating black holes in dynamical Chern-Simons gravity: Decoupling limit solutions and breakdown
- Geodesic models of quasi-periodic-oscillations as probes of quadratic gravity
- Spinning black holes in shift-symmetric Horndeski theory
- Extremal Black Holes in Dynamical Chern-Simons Gravity
- New class of Proca interactions
- On the inexistence of solitons in Einstein-Maxwell-scalar models
- Difficulties of Quantitative Tests of the Kerr-Hypothesis with X-Ray Observations of Mass Accreting Black Holes
- Rotating Dilaton Black Holes with Hair
- Hairy rotating black holes in cubic Galileon theory
- Numerical Black Hole Solutions in Modified Gravity Theories: Axial Symmetry Case
- Scalar field excited around a rapidly rotating black hole in Chern-Simons modified gravity
- Skyrmions around Kerr black holes and spinning BHs with Skyrme hair
- Towards rotating non-circular black holes in string-inspired gravity
Cited by in corpus (20)
- From a locality-principle for new physics to image features of regular spinning black holes with disks
- Image features of spinning regular black holes based on a locality principle
- Parameterizations of black-hole spacetimes beyond circularity
- A new approach and code for spinning black holes in modified gravity
- Instability of spherically-symmetric black holes in Quadratic Gravity
- Echoes from Hairy Black Holes
- Petrov Type, Principal Null Directions, and Killing Tensors of Slowly-Rotating Black Holes in Quadratic Gravity
- Black hole hairs in scalar-tensor gravity and the lack thereof
- Spinning Black Holes with Axion Hair
- Rotating black holes in semiclassical gravity
- The zeroth law of black hole thermodynamics in arbitrary higher derivative theories of gravity
- Non-minimal coupling of scalar and gauge fields with gravity: an entropy current and linearized second law
- Blandford-Znajek Process in Quadratic Gravity
- How Do Axisymmetric Black Holes Grow Monopole and Dipole Hair?
- Resonant orbits of rotating black holes beyond circularity: Discontinuity along parameter shift
- Generalizations and challenges for the spacetime block-diagonalization
- Observational features of reflection asymmetric black holes
- Properties of general stationary axisymmetric spacetimes: circularity and beyond
- Overcharging Extremal Rotating Black Holes
- Testing the Non-circularity of the Spacetime around Sagittarius A* with Orbiting Pulsars