Parametrizing and constraining scalar corrections to general relativity
arXiv:1310.6743 · doi:10.1103/PhysRevD.89.044026
Abstract
We parametrize a large class of corrections to general relativity which include a long-ranged gravitational scalar field as a dynamical degree of freedom in two ways: parametrizing the structure of the correction to the action, and parametrizing the scalar hair (multipole structure) that compact objects and black holes attain. The presence of this scalar hair violates the no-hair theorems present in general relativity, which leads to several important effects. The effects we consider are (i) the interaction between an isolated body and an external scalar field, (ii) the scalar multipole-multipole interaction between two bodies in a compact binary, (iii) the additional pericenter precession of a binary, (iv) the scalar radiation from a binary, and (v) the modification to the gravitational wave phase from a binary. We apply this framework to example theories including Einstein-dilaton-Gauss-Bonnet gravity and dynamical Chern-Simons gravity, and estimate the size of the effects. Finally, we estimate the bounds that can be placed on parameters of the theories from the precession of pulsar binaries and from gravitational waves.
18 pages, 3 figures, 1 table; matches version appearing in PRD
References in corpus (15)
- Dynamical Chern-Simons Modified Gravity I: Spinning Black Holes in the Slow-Rotation Approximation
- 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
- Neutron-star mergers in scalar-tensor theories of gravity
- Slowly Rotating Black Holes in Dynamical Chern-Simons Gravity: Deformation Quadratic in the Spin
- Higher-Derivative Corrected Black Holes: Perturbative Stability and Absorption Cross-Section in Heterotic String Theory
- Numerical simulations of single and binary black holes in scalar-tensor theories: circumventing the no-hair theorem
- New Constraint on Scalar Gauss-Bonnet Gravity and a Possible Explanation for the Excess of the Orbital Decay Rate in a Low-Mass X-ray Binary
- Isolated and Binary Neutron Stars in Dynamical Chern-Simons Gravity
- Gravitational Waves from Quasi-Circular Black Hole Binaries in Dynamical Chern-Simons Gravity
- Testing Chern-Simons Modified Gravity with Gravitational-Wave Detections of Extreme-Mass-Ratio Binaries
- Effective Gravitational Wave Stress-energy Tensor in Alternative Theories of Gravity
- Self-force on extreme mass ratio inspirals via curved spacetime effective field theory
- Light scalar field constraints from gravitational-wave observations of compact binaries
- Mass, Charge and Motion in Covariant Gravity Theories
Cited by in corpus (28)
- Testing General Relativity with Present and Future Astrophysical Observations
- Theoretical Physics Implications of the Binary Black-Hole Mergers GW150914 and GW151226
- Can environmental effects spoil precision gravitational-wave astrophysics?
- Black Hole Based Tests of General Relativity
- Black holes and binary mergers in scalar Gauss-Bonnet gravity: scalar field dynamics
- Numerical binary black hole mergers in dynamical Chern-Simons: I. Scalar field
- Challenging the Presence of Scalar Charge and Dipolar Radiation in Binary Pulsars
- Black holes and fundamental fields in Numerical Relativity: initial data construction and evolution of bound states
- Numerical relativity simulation of GW150914 in Einstein dilaton Gauss-Bonnet gravity
- Theoretical Physics Implications of Gravitational Wave Observation with Future Detectors
- Post-Newtonian dynamics and black hole thermodynamics in Einstein-scalar-Gauss-Bonnet gravity
- Rapidly rotating black holes in dynamical Chern-Simons gravity: Decoupling limit solutions and breakdown
- Effective Field Theory for the Perturbations of a Slowly Rotating Black Hole
- Probing Einstein-dilaton Gauss-Bonnet Gravity with the inspiral and ringdown of gravitational waves
- Theory-agnostic Reconstruction of Potential and Couplings from Quasi-Normal Modes
- Probing the Black Hole Metric. I. Black Hole Shadows and Binary Black-Hole Inspirals
- Testing massive-field modifications of gravity via gravitational waves
- Binary White Dwarfs as Laboratories for Extreme Gravity with LISA
- The exact dynamical Chern Simons metric for a spinning black hole possesses a fourth constant of motion: A Dynamical-Systems-Based Conjecture
- Equatorial extreme-mass-ratio inspirals in Kerr black holes with scalar hair spacetimes
- Measuring the ringdown scalar polarization of gravitational waves in Einstein scalar Gauss-Bonnet gravity
- Probing string-inspired gravity with the inspiral-merger-ringdown consistency tests of gravitational waves
- Hair loss in parity violating gravity
- Generic EFT-motivated beyond General Relativity gravitational wave tests and their curvature dependence: from observation to interpretation
- The curvature dependence of gravitational-wave tests of General Relativity
- Exact solution for rotating black holes in parity-violating gravity
- Probing Fundamental Physics with Gravitational Waves
- Black hole sensitivities in Einstein-scalar-Gauss-Bonnet gravity