Covariant dynamics from static spherically symmetric geometries
arXiv:2506.09540 · doi:10.1103/6sws-hfj7
Abstract
This work reveals a fundamental link between general covariance and Birkhoff's theorem. We extend Birkhoff's theorem from general relativity to a broad class of generally covariant gravity theories formulated in the Hamiltonian framework. Conversely, we show that each one-parameter family of static, spherically symmetric spacetimes determines a class of covariant theories, each of which has that family of spacetimes as its entire vacuum solution space. Our systematic and model-independent framework applies to a wide range of spacetimes, including observationally inferred, quantum-gravity-inspired, and regular black holes. It provides a universal tool for probing their dynamical origins and enables the reconstruction of the underlying covariant theories from observational data, including gravitational-wave and black-hole-shadow measurements.
6 pages, including appendix; v3: major revisions addressing the referees' comments, including a rewritten abstract emphasizing the two-fold contribution of our work. v2: major reversions based on the referee's comments
References in corpus (32)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
- First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
- Formation and evaporation of non-singular black holes
- Dilaton Gravity in Two Dimensions
- Regular phantom black holes
- Quantum Transfiguration of Kruskal Black Holes
- Space-Time Structure of Loop Quantum Black Hole
- Quantum Oppenheimer-Snyder and Swiss Cheese models
- Regular black holes: A short topic review
- Black holes in loop quantum gravity: the complete space-time
- Loop quantization of the Schwarzschild interior revisited
- Non-singular quantum-inspired gravitational collapse
- Field sources for Simpson-Visser space-times
- Quantum black holes in Loop Quantum Gravity
- Effective loop quantum gravity framework for vacuum spherically symmetric space-times
- Light rings and shadows of static black holes in effective quantum gravity
- Quantum gravity of dust collapse: shock waves from black holes
- Dust collapse in asymptotic safety: a path to regular black holes
- Probing the Effective Quantum Gravity via Quasinormal Modes and Shadows of Black Holes
- Black Holes and Covariance in Effective Quantum Gravity
- Transition from Regular Black Holes to Wormholes in Covariant Effective Quantum Gravity: Scattering, Quasinormal Modes, and Hawking Radiation
- Gravitational lensing effect of black holes in effective quantum gravity
- Reduced Phase Space Quantization of Black Holes: Path Integrals, and Effective Dynamics
- Black holes and covariance in effective quantum gravity: A solution without Cauchy horizons
- Spinning Particle Dynamics and ISCO in Covariant Loop Quantum Gravity
- Transforming singular black holes into regular black holes sourced by nonlinear electrodynamics
- Formation of regular black hole from baryonic matter
- Probing loop quantum effects through solar system experiments: observational signatures and parameter constraints
- Lessons from gauge fixing and polymerization of loop quantum black holes with a cosmological constant
- Testing general covariance in effective models motivated by Loop Quantum Gravity