Exact non-singular black holes from the phantom DBI field evaporate to gram-mass relics, opening a new mass window for primordial black holes as dark matter.
hub Canonical reference
Resummation of Massive Gravity
Canonical reference. 90% of citing Pith papers cite this work as background.
19
Pith papers citing it
Background
90% of classified citations
abstract
We construct four-dimensional covariant non-linear theories of massive gravity which are ghost-free in the decoupling limit to all orders. These theories resum explicitly all the nonlinear terms of an effective field theory of massive gravity. We show that away from the decoupling limit the Hamiltonian constraint is maintained at least up to and including quartic order in non-linearities, hence, excluding the possibility of the Boulware-Deser ghost up to this order. We also show that the same remains true to all orders in a similar toy-model.
hub tools
citation-role summary
background 9
method 1
citation-polarity summary
representative citing papers
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.
A full-covariance formalism for PTA-astrometry ORF estimators forecasts graviton-mass upper limits of 4.41e-24 eV/c2 for current-like setups and 0.48e-24 eV/c2 for SKA/Theia-like future setups, with astrometry adding significant power in the latter case.
The Coherence Principle supplies a falsifiable prior for Bayesian model selection by converting compatibility with a theory's validated grammar into prior weights via a maximum-entropy exponential controlled by one parameter.
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.
In dRGT massive gravity, the helicity-2 modes propagate on the metric lightcone in the high-frequency limit for arbitrary backgrounds.
A Schur complement proof shows that gauge-fixing admissibility in constrained systems is independent of the second-class sector, linking Hamiltonian and Lagrangian completeness criteria.
Deformed two-point correlators in mixed TbarT/root-TbarT CFTs admit an explicit kernel representation as weighted averages of undeformed CFT correlators over conformal dimensions, with the two-point function obtained to all orders in TbarT and leading order in root-TbarT.
Non-primary square roots in massive gravity preserve covariance but lack analytic perturbation theory and risk complex domains.
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.
EHT observations of Sgr A* constrain deviations from GR black hole solutions including regular BHs, string-inspired spacetimes, and BH mimickers, with some limits exceeding cosmological bounds.
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.
Extended Proca-Nuevo gravity modifies the background expansion via a vector field algebraic constraint but leaves the matter growth equation identical to general relativity.
The scalar-tensor representation of f(Q) gravity reproduces the known ghost/strong-coupling obstruction, so the pathology is not an artifact of the original variables.
Nonlocal Källén-Lehmann spectral densities in the Higgs sector yield exponentially suppressed scattering amplitudes above Λ_NL and suppress the real part of the Higgs self-energy at p² ~ -Λ²_NL, solving the hierarchy problem and testable via LHC global fits.
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.
Analytical extended thermodynamics of charged AdS black holes in ModMax-dRGT massive gravity with Sharma-Mittal entropy shows parameter-dependent inversion curves, van der Waals-like first-order phase transitions, and decoupled effects from each modification.
The paper provides state-of-the-art predictions for the Einstein Telescope's impact on fundamental physics, cosmology, compact-object astrophysics, and multi-messenger astronomy across its proposed configurations.
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.
citing papers explorer
-
Exact, non-singular black holes from a phantom DBI Field as primordial dark matter
Exact non-singular black holes from the phantom DBI field evaporate to gram-mass relics, opening a new mass window for primordial black holes as dark matter.
-
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.
-
Forecasting graviton-mass constraints from the full covariance of PTA-astrometry ORF estimators
A full-covariance formalism for PTA-astrometry ORF estimators forecasts graviton-mass upper limits of 4.41e-24 eV/c2 for current-like setups and 0.48e-24 eV/c2 for SKA/Theia-like future setups, with astrometry adding significant power in the latter case.
-
The Coherence Principle: A Falsifiable Prior for Model Selection from the Grammar of Theories
The Coherence Principle supplies a falsifiable prior for Bayesian model selection by converting compatibility with a theory's validated grammar into prior weights via a maximum-entropy exponential controlled by one parameter.
-
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.
-
Graviton propagation in ghost-free massive gravity
In dRGT massive gravity, the helicity-2 modes propagate on the metric lightcone in the high-frequency limit for arbitrary backgrounds.
-
A note on complete gauge-fixing and the constraint algebra
A Schur complement proof shows that gauge-fixing admissibility in constrained systems is independent of the second-class sector, linking Hamiltonian and Lagrangian completeness criteria.
-
Correlators in $T\bar{T}$ and Root-$T\bar{T}$ Deformed CFTs
Deformed two-point correlators in mixed TbarT/root-TbarT CFTs admit an explicit kernel representation as weighted averages of undeformed CFT correlators over conformal dimensions, with the two-point function obtained to all orders in TbarT and leading order in root-TbarT.
-
Non-primary square roots in massive gravity
Non-primary square roots in massive gravity preserve covariance but lack analytic perturbation theory and risk complex domains.
-
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.
-
Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$
EHT observations of Sgr A* constrain deviations from GR black hole solutions including regular BHs, string-inspired spacetimes, and BH mimickers, with some limits exceeding cosmological bounds.
-
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.
-
Perturbation Dynamics and Structure Formation in Extended Proca-Nuevo Gravity
Extended Proca-Nuevo gravity modifies the background expansion via a vector field algebraic constraint but leaves the matter growth equation identical to general relativity.
-
Physical nonviability of $f(\mathbb{Q})$ in the scalar-tensor representation
The scalar-tensor representation of f(Q) gravity reproduces the known ghost/strong-coupling obstruction, so the pathology is not an artifact of the original variables.
-
Emerging Nonlocal K\"{a}ll\`{e}n-Lehmann Higgs Spectra at the LHC
Nonlocal Källén-Lehmann spectral densities in the Higgs sector yield exponentially suppressed scattering amplitudes above Λ_NL and suppress the real part of the Higgs self-energy at p² ~ -Λ²_NL, solving the hierarchy problem and testable via LHC global fits.
-
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.
-
Extended Thermodynamics and Throttling Process of Charged AdS Black Holes in ModMax-dRGT Massive Gravity with Sharma-Mittal Entropy
Analytical extended thermodynamics of charged AdS black holes in ModMax-dRGT massive gravity with Sharma-Mittal entropy shows parameter-dependent inversion curves, van der Waals-like first-order phase transitions, and decoupled effects from each modification.
-
The Science of the Einstein Telescope
The paper provides state-of-the-art predictions for the Einstein Telescope's impact on fundamental physics, cosmology, compact-object astrophysics, and multi-messenger astronomy across its proposed configurations.
-
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.