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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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.
The one-loop partition function for non-relativistic de Sitter gravity yields a T² prefactor consistent with four symmetry generators, and the bulk admits a torsionless Newton-Cartan geometry satisfying the non-relativistic JT equations.
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.
Derives background-hierarchy bounds on the two free parameters of Type 3 NGR to ensure linear cosmological perturbation theory remains viable around flat FLRW.
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.
In DHOST theories with Gauss-Bonnet and Weyl operators, gauge symmetry invariance conditions are identical to Hamiltonian constraints eliminating ghosts.
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.
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.
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.
A pedagogical review of Love numbers and tidal responses for black holes and compact objects in general relativity and extensions.
A pedagogical exposition of the Hamilton-Ostrogradski formalism applied to the Pais-Uhlenbeck model and coupled oscillators for advanced classical mechanics courses.
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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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.
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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.
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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.
-
Quantum Fluctuations and Newton-Cartan Geometry for Non-Relativistic de Sitter space
The one-loop partition function for non-relativistic de Sitter gravity yields a T² prefactor consistent with four symmetry generators, and the bulk admits a torsionless Newton-Cartan geometry satisfying the non-relativistic JT equations.
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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.
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Gauge-invariant cosmological perturbations in Type 3 New General Relativity and background-hierarchy bounds
Derives background-hierarchy bounds on the two free parameters of Type 3 NGR to ensure linear cosmological perturbation theory remains viable around flat FLRW.
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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.
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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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AI--Assisted Exploration: DHOST Theories without Quantum Ghosts
In DHOST theories with Gauss-Bonnet and Weyl operators, gauge symmetry invariance conditions are identical to Hamiltonian constraints eliminating ghosts.
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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.
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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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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.
-
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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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.
- Gauge-independent approach to inflation in quadratic gravity