A numerical polology sampler maps ghost- and tachyon-free regions of bosonic EFT coupling spaces and finds new particle branches, including a spin-one mode in general rank-2 tensor theories.
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Massive Gravity
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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.
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Every local scalar EFT admits a duality to an infinite class of other scalar theories via field-dependent diffeomorphisms preserving the S-matrix, extending to gravity in Einstein-Cartan formalism.
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.
Derives conditions for viable screened radial solutions in multi-field de Sitter Galileons, showing curvature can mitigate superluminality at the cost of a finite validity range set by the strong-coupling point.
A factorization-based method is outlined to derive energy-loss constraints on dark sector particles (spin 0 to 2) from ISR-modified lepton distributions in DIS, illustrated for MeV-GeV spin-0 cases at the EIC.
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.
Derives boost transformations for GW polarizations, proposes symmetry classification without preferred frames, and analyzes preferred-frame effects in Bumblebee gravity including novel polarization conversion.
Non-primary square roots in massive gravity preserve covariance but lack analytic perturbation theory and risk complex domains.
Introduces Fractional Holographic Dark Energy (FHDE) via fractionally corrected entropy from a modified Wheeler-DeWitt equation and studies its late-time cosmology, field reconstructions, and extensions to modified gravity theories.
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.
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.
In Einstein-Born-Infeld massive gravity, the second temperature derivative of the entanglement-wedge cross-section tracks the metal-insulator crossover, all entanglement measures diagnose Hawking-Page transitions, and a 1/3 critical exponent appears universal.
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.
Particle cosmology integrates particle physics with cosmology to interpret the early universe as a natural high-energy laboratory and explain phenomena via theories like inflation, baryogenesis, and dark matter.
citing papers explorer
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Numerical polology: towards next-generation model-building for cosmology
A numerical polology sampler maps ghost- and tachyon-free regions of bosonic EFT coupling spaces and finds new particle branches, including a spin-one mode in general rank-2 tensor theories.
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Diffeomorphic Scalar Duality
Every local scalar EFT admits a duality to an infinite class of other scalar theories via field-dependent diffeomorphisms preserving the S-matrix, extending to gravity in Einstein-Cartan formalism.
-
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.
-
Radial Solutions of Multi-Field de Sitter Galileons
Derives conditions for viable screened radial solutions in multi-field de Sitter Galileons, showing curvature can mitigate superluminality at the cost of a finite validity range set by the strong-coupling point.
-
New Energy-Loss Constraints on Dark Sectors from Deeply Inelastic Scattering with Initial State Radiation
A factorization-based method is outlined to derive energy-loss constraints on dark sector particles (spin 0 to 2) from ISR-modified lepton distributions in DIS, illustrated for MeV-GeV spin-0 cases at the EIC.
-
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.
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Reference Frames and Gravitational-Wave Polarizations: Symmetry Classification and Preferred-Frame Phenomenology
Derives boost transformations for GW polarizations, proposes symmetry classification without preferred frames, and analyzes preferred-frame effects in Bumblebee gravity including novel polarization conversion.
-
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.
-
An Interplay Between Fractional Calculus and Holographic Dark Energy
Introduces Fractional Holographic Dark Energy (FHDE) via fractionally corrected entropy from a modified Wheeler-DeWitt equation and studies its late-time cosmology, field reconstructions, and extensions to modified gravity theories.
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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.
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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.
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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.
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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.
-
Mixed-state entanglement and phase transitions in Einstein-Born-Infeld massive gravity
In Einstein-Born-Infeld massive gravity, the second temperature derivative of the entanglement-wedge cross-section tracks the metal-insulator crossover, all entanglement measures diagnose Hawking-Page transitions, and a 1/3 critical exponent appears universal.
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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.
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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.
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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.
-
Particle Cosmology
Particle cosmology integrates particle physics with cosmology to interpret the early universe as a natural high-energy laboratory and explain phenomena via theories like inflation, baryogenesis, and dark matter.