Gravitational memory from hairy binary black hole mergers in scalar-Gauss-Bonnet gravity differs from GR by a few percent due to altered nonlinear dynamics, with direct scalar contributions suppressed, and including memory increases GR-sGB mismatch by more than an order of magnitude.
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The Theorem of Ostrogradsky
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abstract
Ostrogradsky's construction of a Hamiltonian formalism for nondegenerate higher derivative Lagrangians is reviewed. The resulting instability imposes by far the most powerful restriction on fundamental, interacting, continuum Lagrangian field theories. A discussion is given of the problems raised by attempts to evade this restriction.
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Derives primary degeneracy matrix conditions, antisymmetric consistency conditions from constraint preservation, and a final rank condition sufficient to ensure quadratic multi-field higher-derivative scalar-tensor theories propagate only 2+N degrees of freedom without extra Ostrogradsky modes.
RG-improved black hole spacetimes with scale-dependent gravitational coupling are derived as vacuum solutions to 2D Horndeski master field equations, embedding prior works and exposing implementation discrepancies.
A metric-affine version of quadratic DHOST theories is derived and reduced to a one-function family that satisfies degeneracy conditions and light-speed gravitational wave propagation.
The Paneitz operator in 4D belongs to extended mimetic gravity and is constrained by gravitational wave propagation speed.
Derives μ-frame auxiliary deformation of 2D BM model and uplifts both ν- and μ-frames to 4D higher-derivative theory lacking manifest diffeomorphism invariance.
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.
Affine ANEC obstructs non-static flat and open FRW from being null geodesically complete while ANEC-satisfying, but allows explicit scalar-field realizations for closed FRW with NEC-respecting matter.
The paper develops a descriptive framework in which scientific reward in physics is understood as transformations of the Polydoxon, the structured set of viable theories, with reward scaling by the transformation's scope, centrality, depth, and future leverage.
Higher-curvature terms deform the near-horizon potential of spherically symmetric black holes, producing progressively larger shifts in overtone quasinormal frequencies that remain detectable in ringdown waveforms when the fundamental mode stays close to its GR value.
Higher-derivative extension of dark matter yields an imperfect fluid that matches pressureless dust on homogeneous backgrounds but generates acceleration and vorticity to avoid caustic singularities in inhomogeneous cosmologies.
Ghostly quantum systems can have discrete non-dense energy spectra under classical stability conditions, providing counterexamples to spectral denseness.
A quantum ghost coupled polynomially to a harmonic oscillator has unitary evolution and a stable vacuum because a conserved quantity possesses a positive discrete spectrum.
Covariant phase space allows perturbative canonical quantization of theories whose velocity-dependent perturbations alter constraints and phase-space dimension, matching the exact low-energy spectrum and commutators of a solvable model.
Existence of background-independent Fock representations for canonical quantum gravity with matter, producing a separable Hilbert space unlike LQG.
Pre-geometric gauge theory with spontaneous symmetry breaking yields consistent actions and gauge choices for the full Geometric Trinity of Gravity.
Derives nuclear-velocity phases and corrections to PAW pseudo-potential Hamiltonians enabling Galilean-invariant non-adiabatic Ehrenfest dynamics.
Derives background-hierarchy bounds for scalar, transverse-vector and tensor modes in Type 3 NGR around flat FLRW, identifying viable parameter regions where linear perturbation theory remains consistent.
Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.
Apparent exponential growth of metric perturbations in the Newtonian gauge for quadratic-gravity inflation is gauge-dependent and non-generic; other gauges remain well-behaved.
The one-loop partition function of the Galilean-de Sitter boundary theory is Z(β) = (2/πβ²) exp(4π²c₀/β), whose β⁻² prefactor matches the four generators of the EdS-G algebra; the matching bulk is a Newton-Cartan geometry satisfying a non-relativistic JT action.
Cosmological data can constrain only a handful of EFT parameters for single-scalar dark energy; extended models show modest preference over Λ but remain underdetermined and challenged by fifth forces and screening.
Bouncing solutions in quadratic curvature gravity with a scalar field satisfy null, weak, and dominant energy conditions but violate the strong one when using the scalar-field energy-momentum tensor, while all four conditions are violated near the bounce in the effective tensor formulation.
Phantom scalar-Gauss-Bonnet coupling with bulk viscosity produces a stable non-singular bounce cosmology that fits Pantheon+ supernova data and places derived inflation observables inside Planck 68% CL contours.
citing papers explorer
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Gravitational Memory from Hairy Binary Black Hole Mergers
Gravitational memory from hairy binary black hole mergers in scalar-Gauss-Bonnet gravity differs from GR by a few percent due to altered nonlinear dynamics, with direct scalar contributions suppressed, and including memory increases GR-sGB mismatch by more than an order of magnitude.
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Removing Ostrogradsky modes in multi-field higher-order scalar-tensor theories
Derives primary degeneracy matrix conditions, antisymmetric consistency conditions from constraint preservation, and a final rank condition sufficient to ensure quadratic multi-field higher-derivative scalar-tensor theories propagate only 2+N degrees of freedom without extra Ostrogradsky modes.
-
Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry
RG-improved black hole spacetimes with scale-dependent gravitational coupling are derived as vacuum solutions to 2D Horndeski master field equations, embedding prior works and exposing implementation discrepancies.
-
Degenerate higher-order scalar-tensor theories in metric-affine gravity
A metric-affine version of quadratic DHOST theories is derived and reduced to a one-function family that satisfies degeneracy conditions and light-speed gravitational wave propagation.
-
Gravitational wave constraints on the Paneitz operator
The Paneitz operator in 4D belongs to extended mimetic gravity and is constrained by gravitational wave propagation speed.
-
The auxiliary-deformed Breitenlohner-Maison model: duality frames and higher-dimensional origin
Derives μ-frame auxiliary deformation of 2D BM model and uplifts both ν- and μ-frames to 4D higher-derivative theory lacking manifest diffeomorphism invariance.
-
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.
-
Affine ANEC selects the closed FRW branch for geodesically complete cosmology
Affine ANEC obstructs non-static flat and open FRW from being null geodesically complete while ANEC-satisfying, but allows explicit scalar-field realizations for closed FRW with NEC-respecting matter.
-
Polydoxon Transformations and Scientific Reward in Physics
The paper develops a descriptive framework in which scientific reward in physics is understood as transformations of the Polydoxon, the structured set of viable theories, with reward scaling by the transformation's scope, centrality, depth, and future leverage.
-
Probing higher curvature gravity via ringdown with overtones
Higher-curvature terms deform the near-horizon potential of spherically symmetric black holes, producing progressively larger shifts in overtone quasinormal frequencies that remain detectable in ringdown waveforms when the fundamental mode stays close to its GR value.
-
Imperfect dark matter with higher derivatives
Higher-derivative extension of dark matter yields an imperfect fluid that matches pressureless dust on homogeneous backgrounds but generates acceleration and vorticity to avoid caustic singularities in inhomogeneous cosmologies.
-
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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Unitary Time Evolution and Vacuum for a Quantum Stable Ghost
A quantum ghost coupled polynomially to a harmonic oscillator has unitary evolution and a stable vacuum because a conserved quantity possesses a positive discrete spectrum.
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Canonical quantization for effective theories with perturbations altering degrees of freedom: a covariant phase space approach
Covariant phase space allows perturbative canonical quantization of theories whose velocity-dependent perturbations alter constraints and phase-space dimension, matching the exact low-energy spectrum and commutators of a solvable model.
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Non-perturbative, background independent canonical quantum gravity in Fock representations
Existence of background-independent Fock representations for canonical quantum gravity with matter, producing a separable Hilbert space unlike LQG.
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The Pre-geometric Origin of Geometric Trinity of Gravity
Pre-geometric gauge theory with spontaneous symmetry breaking yields consistent actions and gauge choices for the full Geometric Trinity of Gravity.
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Non-adiabatic Ehrenfest dynamics with norm-conserving and ultra-soft pseudo-potentials with nuclear velocity corrections on the atomic orbitals within the Projector Augmented Wave Method framework
Derives nuclear-velocity phases and corrections to PAW pseudo-potential Hamiltonians enabling Galilean-invariant non-adiabatic Ehrenfest dynamics.
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Gauge-invariant cosmological perturbations in Type 3 New General Relativity and background-hierarchy bounds
Derives background-hierarchy bounds for scalar, transverse-vector and tensor modes in Type 3 NGR around flat FLRW, identifying viable parameter regions where linear perturbation theory remains consistent.
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UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.
-
Gauge-independent approach to inflation in quadratic gravity
Apparent exponential growth of metric perturbations in the Newtonian gauge for quadratic-gravity inflation is gauge-dependent and non-generic; other gauges remain well-behaved.
-
Quantum Fluctuations and Newton-Cartan Geometry for Non-Relativistic de Sitter space
The one-loop partition function of the Galilean-de Sitter boundary theory is Z(β) = (2/πβ²) exp(4π²c₀/β), whose β⁻² prefactor matches the four generators of the EdS-G algebra; the matching bulk is a Newton-Cartan geometry satisfying a non-relativistic JT action.
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The Status of Single Scalar Field Dark Energy
Cosmological data can constrain only a handful of EFT parameters for single-scalar dark energy; extended models show modest preference over Λ but remain underdetermined and challenged by fifth forces and screening.
-
Energy conditions of bouncing solutions in quadratic curvature gravity coupled with a scalar field
Bouncing solutions in quadratic curvature gravity with a scalar field satisfy null, weak, and dominant energy conditions but violate the strong one when using the scalar-field energy-momentum tensor, while all four conditions are violated near the bounce in the effective tensor formulation.
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Non-Singular Bouncing cosmology from Phantom Scalar-Gauss-Bonnet Coupling: Reconstruction with Observational Insights
Phantom scalar-Gauss-Bonnet coupling with bulk viscosity produces a stable non-singular bounce cosmology that fits Pantheon+ supernova data and places derived inflation observables inside Planck 68% CL contours.
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Instability of 5D Gauss-Bonnet black branes
Gauss-Bonnet black branes in five-dimensional AdS gravity are unstable when the Gauss-Bonnet coupling falls outside the conformal collider bounds, with unstable modes connected to boundary causality-violating modes by phase rotation of complex boundary momentum.
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Effect of $R^2$ on the stability of de Sitter solution of the generalized Einsteinian cubic gravity
Generalized Einsteinian cubic gravity admits a de Sitter solution from the P cubic term alone; stability analysis is incomplete until the R^2 term is added, which leaves the solution value unchanged.
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The Diffeomorphism Field
This thesis reviews and refines constructions of dynamical theories for the diffeomorphism field by mimicking Yang-Mills theory from Kac-Moody algebras and investigates geometric alternatives.
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Love numbers of black holes and compact objects
A pedagogical review of Love numbers and tidal responses for black holes and compact objects in general relativity and extensions.
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Asymptotically safe quantum gravity and its phenomenology -- a review
Review surveying progress toward realistic asymptotically safe quantum gravity with quantum scale symmetry and observational implications.
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Introduction to Higher Order Classical Dynamics: Pais-Uhlenbeck Model and Coupled Oscillators
A pedagogical exposition of the Hamilton-Ostrogradski formalism applied to the Pais-Uhlenbeck model and coupled oscillators for advanced classical mechanics courses.
- Primary Constraints of Newer General Relativity
- AI--Assisted Exploration: DHOST Theories without Quantum Ghosts