Gravitational-wave energy and other fluxes in ghost-free bigravity
arXiv:2208.02123 · doi:10.1103/PhysRevD.107.044041
Abstract
One of the key ingredients for making binary waveform predictions in a beyond-GR theory of gravity is understanding the energy and angular momentum carried by gravitational waves and any other radiated fields. Identifying the appropriate energy functional is unclear in Hassan-Rosen bigravity, a ghost-free theory with one massive and one massless graviton. The difficulty arises from the new degrees of freedom and length scales which are not present in GR, rendering an Isaacson-style averaging calculation ambiguous. In this article we compute the energy carried by gravitational waves in bigravity starting from the action, using the canonical current formalism. The canonical current agrees with other common energy calculations in GR, and is unambiguous (modulo boundary terms), making it a convenient choice for quantifying the energy of gravitational waves in bigravity or any diffeomorphism-invariant theories of gravity. This calculation opens the door for future waveform modeling in bigravity to correctly include backreaction due to emission of gravitational waves.
arXiv comment18+4 pages, 2 figures; v2: fixed typos and added references, matches published version
References in corpus (66)
- The Confrontation between General Relativity and Experiment
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- Resummation of Massive Gravity
- Generalization of the Fierz-Pauli Action
- Massive Gravity
- Bimetric Gravity from Ghost-free Massive Gravity
- Invariant Variation Problems
- Resolving the Ghost Problem in non-Linear Massive Gravity
- The motion of point particles in curved spacetime
- A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
- The Effective Field Theorist's Approach to Gravitational Dynamics
- Black Hole Spectroscopy: Testing General Relativity through Gravitational Wave Observations
- Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
- Testing the no-hair theorem with GW150914
- Ghost-free Massive Gravity with a General Reference Metric
- On Non-Linear Actions for Massive Gravity
- Gedanken Experiments to Destroy a Black Hole II: Kerr-Newman Black Holes Cannot be Over-Charged or Over-Spun
- Cosmological Solutions in Bimetric Gravity and their Observational Tests
- Cosmological solutions with massive gravitons in the bigravity theory
- Stability of Black Holes and Black Branes
- FRW Cosmology in Ghost Free Massive Gravity
- Perturbations in Massive Gravity Cosmology
- Effective Lagrangians and Universality Classes of Nonlinear Bigravity
- Recent developments in bimetric theory
- Stable and unstable cosmological models in bimetric massive gravity
- Symmetries and charges of general relativity at null boundaries
- Asymptotics with a positive cosmological constant: I. Basic framework
- On Consistent Theories of Massive Spin-2 Fields Coupled to Gravity
- Hairy black holes in the ghost-free bigravity theory
- Spherically Symmetric Solutions in Ghost-Free Massive Gravity
- Massive gravitons as dark matter and gravitational waves
- Black holes with massive graviton hair
- The First Law of Black Hole Mechanics for Fields with Internal Gauge Freedom
- Asymptotics with a positive cosmological constant: II. Linear fields on de Sitter space-time
- Asymptotic Symmetries and Charges in De Sitter Space
- Asymptotics with a positive cosmological constant: III. The quadrupole formula
- Cosmological perturbations in massive bigravity
- Effective Gravitational Wave Stress-energy Tensor in Alternative Theories of Gravity
- Particular Solutions in Bimetric Theory and Their Implications
- Dimensionally Dependent Tensor Identities by Double Antisymmetrisation
- Stability analysis of black holes in massive gravity: a unified treatment
- On the local structure of spacetime in ghost-free bimetric theory and massive gravity
- Brans-Dicke theory in Bondi-Sachs form: Asymptotically flat solutions, asymptotic symmetries and gravitational-wave memory effects
- A general variational principle for spherically symmetric perturbations in diffeomorphism covariant theories
- The Wald-Zoupas prescription for asymptotic charges at null infinity in general relativity
- Linear spin-2 fields in most general backgrounds
- Strong lensing constraints on bimetric massive gravity
- Observational constraints on bimetric gravity
- Non linear Fierz-Pauli theory from torsion and bigravity
- Asymptotics with a positive cosmological constant: IV. The `no-incoming radiation' condition
- Minimal Theory of Bigravity: construction and cosmology
- "Conserved charges" of the Bondi-Metzner-Sachs algebra in the Brans-Dicke theory
- Conserved charges in Chern-Simons modified theory and memory effects
- Geometric mean of bimetric spacetimes
- Gravitational Waves in Ghost Free Bimetric Gravity
- Rotating (A)dS black holes in bigravity
- Black Hole Instabilities and Exponential Growth
- Angular momentum at null infinity in Einstein-Maxwell theory
- Hamiltonian charges in the asymptotically de Sitter spacetimes
- Extending applicability of bimetric theory: chameleon bigravity
- Spacetime symmetries and topology in bimetric relativity
- A Variational Principle for the Axisymmetric Stability of Rotating Relativistic Stars
- A class of conserved currents for linearized gravity in the Kerr spacetime
- Conserved currents for electromagnetic fields in the Kerr spacetime
- Slowly-Rotating Neutron Stars in Massive Bigravity
- Exact ghost-free bigravitational waves