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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A systematic approach to generalisations of General Relativity and their cosmological implications
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abstract
A century ago, Einstein formulated his elegant and elaborate theory of General Relativity, which has so far withstood a multitude of empirical tests with remarkable success. Notwithstanding the triumphs of Einstein's theory, the tenacious challenges of modern cosmology and of particle physics have motivated the exploration of further generalised theories of spacetime. Even though Einstein's interpretation of gravity in terms of the curvature of spacetime is commonly adopted, the assignment of geometrical concepts to gravity is ambiguous because General Relativity allows three entirely different, but equivalent approaches of which Einstein's interpretation is only one. From a field-theoretical perspective, however, the construction of a consistent theory for a Lorentz-invariant massless spin-2 particle uniquely leads to General Relativity. Keeping Lorentz invariance then implies that any modification of General Relativity will inevitably introduce additional propagating degrees of freedom into the gravity sector. Adopting this perspective, we will review the recent progress in constructing consistent field theories of gravity based on additional scalar, vector and tensor fields. Within this conceptual framework, we will discuss theories with Galileons, with Lagrange densities as constructed by Horndeski and beyond, extended to DHOST interactions, or containing generalized Proca fields and extensions thereof, or several Proca fields, as well as bigravity theories and scalar-vector-tensor theories. We will review the motivation of their inception, different formulations, and essential results obtained within these classes of theories together with their empirical viability.
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representative citing papers
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.
Scalar-tensor gravity admits a frame-invariant perfect-fluid description with zero temperature, so that general relativity corresponds to diffusive equilibrium for both minimal and nonminimal 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.
The Breitenlohner-Freedman bound restricts Gauss-Bonnet scalarization of RN-AdS black holes to a single fundamental branch for 0<η<2.25, with a separate single branch for η<0.
In massive Hellings-Nordtvedt theory, a nonzero vector vacuum asymptotically forbids both curvature-vector couplings at once, and the A²R sector yields Schwarzschild-like black holes plus neutron stars that can deviate from general relativity.
Derives a new class of stable models with two massless scalars and one massless spin-2 particle from a rank-2 tensor theory by imposing linearized transverse diffeomorphism invariance and massless spin-2 propagation, using a gauge-invariant Bardeen variable approach.
Binary black hole mergers in Ricci-coupled scalar-Gauss-Bonnet gravity produce an observable scalar breathing memory signal from the merger-driven change in scalar charge, potentially matching the size of the theory's tensor-memory correction.
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.
Quark stars in Ricci-Determinant gravity with interacting quark EoS exhibit lower compactness than in GR and become unstable at high central densities when perturbative gravity terms exceed about half the GR contribution.
A review thesis covering Mukhanov parametrization, general scalar-tensor theories, and new slow-roll techniques for canonical and noncanonical inflation observables.
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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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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Frame invariant diffusive formulation of scalar-tensor gravity
Scalar-tensor gravity admits a frame-invariant perfect-fluid description with zero temperature, so that general relativity corresponds to diffusive equilibrium for both minimal and nonminimal theories.
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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.
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Curvature-induced scalarization of charged AdS black holes
The Breitenlohner-Freedman bound restricts Gauss-Bonnet scalarization of RN-AdS black holes to a single fundamental branch for 0<η<2.25, with a separate single branch for η<0.
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Black holes and neutron stars in massive Hellings-Nordtvedt theory
In massive Hellings-Nordtvedt theory, a nonzero vector vacuum asymptotically forbids both curvature-vector couplings at once, and the A²R sector yields Schwarzschild-like black holes plus neutron stars that can deviate from general relativity.
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Linearized transverse diffeomorphism invariant spin-2 theories via gauge invariants
Derives a new class of stable models with two massless scalars and one massless spin-2 particle from a rank-2 tensor theory by imposing linearized transverse diffeomorphism invariance and massless spin-2 propagation, using a gauge-invariant Bardeen variable approach.
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Scalar memory from compact binary coalescences
Binary black hole mergers in Ricci-coupled scalar-Gauss-Bonnet gravity produce an observable scalar breathing memory signal from the merger-driven change in scalar charge, potentially matching the size of the theory's tensor-memory correction.
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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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Quark Stars in Ricci-Determinant Gravity with an Interacting Quark Equation of State
Quark stars in Ricci-Determinant gravity with interacting quark EoS exhibit lower compactness than in GR and become unstable at high central densities when perturbative gravity terms exceed about half the GR contribution.
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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.
- Unified dark sector and Hubble-tension alleviation in scalar-vector-tensor gravity