In dRGT massive gravity, static spherically symmetric black holes exhibit zero, one, or two photon spheres whose topological charges and stability patterns differ from Einstein gravity and from horizonless compact objects.
hub Canonical reference
Massive Gravity
Canonical reference. 100% of citing Pith papers cite this work as background.
13
Pith papers citing it
Background
100% of classified citations
abstract
We review recent progress in massive gravity. We start by showing how different theories of massive gravity emerge from a higher-dimensional theory of general relativity, leading to the Dvali-Gabadadze-Porrati model, cascading gravity and ghost-free massive gravity. We then explore their theoretical and phenomenological consistency, proving the absence of Boulware-Deser ghosts and reviewing the Vainshtein mechanism and the cosmological solutions in these models. Finally we present alternative and related models of massive gravity such as new massive gravity, Lorentz-violating massive gravity and non-local massive gravity.
hub tools
citation-role summary
background 6
citation-polarity summary
roles
background 6polarities
background 6representative citing papers
Bimetric interactions are defined via a congruence matrix, with the square root shown as the unique power series solution and algebraic equivalence to the unconstrained vielbein formulation.
Ghostly quantum systems can have discrete non-dense energy spectra under classical stability conditions, providing counterexamples to spectral denseness.
Tree-level graviton exchange yields Newtonian potentials plus spin-dependent corrections at O(G) for massive spin-2 scattering off scalars, vectors, and fermions, plus the leading spin-independent O(G^2) term for spin-2 plus scalar.
Dark energy perturbations induce a scale-dependent effective matter-gravity coupling that can become locally negative, potentially explaining low-redshift structure suppression for phantom models.
Applies parameterized dispersion to eccentric BBH burst waveforms, deriving a 2.5PN time-delay correction and Bessel amplitude modulation, then uses Fisher matrix to project LIGO constraints that are stronger than current bounds for Hořava-Lifschitz and extra-dimension models.
A first-order strongly hyperbolic formulation is derived for minimal dRGT massive gravity around Minkowski, with spin-2 graviton characteristics set by the inverse metric.
A CNN framework using response functions from gravitational wave mismatches classifies signals as GR or beyond-GR with 33 times better sensitivity than raw waveforms and detects massive gravity deviations at graviton masses around 10^{-23} eV/c².
In Einstein-Born-Infeld massive gravity, the entanglement wedge cross-section detects effective metal-insulator and Hawking-Page transitions more sensitively than other measures and reveals a universal critical exponent of 1/3 near second-order points.
Charged AdS black holes in dRGT massive gravity with exponential NED exhibit van der Waals-like first-order, second-order critical, and reentrant phase transitions between small and large black holes at fixed Lambda.
A review thesis covering Mukhanov parametrization, general scalar-tensor theories, and new slow-roll techniques for canonical and noncanonical inflation observables.
A review summarizing modified theories of gravity, their effects on compact objects, existing bounds from astrophysical observations, and the promise of future gravitational wave tests for strong-field gravity.
Experiments confirm general relativity to high precision in weak-field and strong-field regimes, with gravitational wave damping matching predictions to better than 0.5 percent.
citing papers explorer
-
Topological charge and black hole photon spheres in massive gravity
In dRGT massive gravity, static spherically symmetric black holes exhibit zero, one, or two photon spheres whose topological charges and stability patterns differ from Einstein gravity and from horizonless compact objects.
-
Bimetric interactions based on metric congruences
Bimetric interactions are defined via a congruence matrix, with the square root shown as the unique power series solution and algebraic equivalence to the unconstrained vielbein formulation.
-
Quantum mechanics with a ghost: Counterexamples to spectral denseness
Ghostly quantum systems can have discrete non-dense energy spectra under classical stability conditions, providing counterexamples to spectral denseness.
-
Scattering of massive spin-2 field via graviton exchanges with different spin fields and the long range gravitational potential
Tree-level graviton exchange yields Newtonian potentials plus spin-dependent corrections at O(G) for massive spin-2 scattering off scalars, vectors, and fermions, plus the leading spin-independent O(G^2) term for spin-2 plus scalar.
-
The effects of dark energy on the matter-gravity coupling
Dark energy perturbations induce a scale-dependent effective matter-gravity coupling that can become locally negative, potentially explaining low-redshift structure suppression for phantom models.
-
Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries
Applies parameterized dispersion to eccentric BBH burst waveforms, deriving a 2.5PN time-delay correction and Bessel amplitude modulation, then uses Fisher matrix to project LIGO constraints that are stronger than current bounds for Hořava-Lifschitz and extra-dimension models.
-
Well-posedness of minimal dRGT massive gravity
A first-order strongly hyperbolic formulation is derived for minimal dRGT massive gravity around Minkowski, with spin-2 graviton characteristics set by the inverse metric.
-
Testing General Relativity Through Gravitational Wave Classification: A Convolutional Neural Network Framework
A CNN framework using response functions from gravitational wave mismatches classifies signals as GR or beyond-GR with 33 times better sensitivity than raw waveforms and detects massive gravity deviations at graviton masses around 10^{-23} eV/c².
-
Diagnosing Effective Metal-Insulator and Hawking-Page Transitions: A Mixed-State Entanglement Perspective in Einstein-Born-Infeld-Massive Gravity
In Einstein-Born-Infeld massive gravity, the entanglement wedge cross-section detects effective metal-insulator and Hawking-Page transitions more sensitively than other measures and reveals a universal critical exponent of 1/3 near second-order points.
-
Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics
Charged AdS black holes in dRGT massive gravity with exponential NED exhibit van der Waals-like first-order, second-order critical, and reentrant phase transitions between small and large black holes at fixed Lambda.
-
Noncanonical Approaches To Inflation
A review thesis covering Mukhanov parametrization, general scalar-tensor theories, and new slow-roll techniques for canonical and noncanonical inflation observables.
-
Testing General Relativity with Present and Future Astrophysical Observations
A review summarizing modified theories of gravity, their effects on compact objects, existing bounds from astrophysical observations, and the promise of future gravitational wave tests for strong-field gravity.
-
The Confrontation between General Relativity and Experiment
Experiments confirm general relativity to high precision in weak-field and strong-field regimes, with gravitational wave damping matching predictions to better than 0.5 percent.