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The Dynamics of General Relativity
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This article--summarizing the authors' then novel formulation of General Relativity--appeared as Chapter 7 of an often cited compendium edited by L. Witten in 1962, which is now long out of print. Intentionally unretouched, this posting is intended to provide contemporary accessibility to the flavor of the original ideas. Some typographical corrections have been made: footnote and page numbering have changed--but not section nor equation numbering etc. The authors' current institutional affiliations are encoded in: arnowitt@physics.tamu.edu, deser@brandeis.edu, misner@physics.umd.edu .
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Showing 60 of 88 Pith papers that cite this
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Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta{N}$ formalism
A shear-free locally FLRW lattice framework for single-field inflation captures spatially varying expansion, curvature corrections, and nonlinear δN observables at a fraction of the cost of full numerical relativity.
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BHaHAHA: A Fast, Robust Apparent Horizon Finder Library for Numerical Relativity
BHaHAHA provides the first infrastructure-agnostic open-source apparent horizon finder using a hyperbolic flow method, with reported 64x speedups on difficult cases and 2.1x faster dynamic tracking than AHFinderDirect.
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Isotropic universes with a preferred direction
A tuned vector-field EFT can have an exactly isotropic FLRW background while hiding a preferred direction that reappears in perturbations as direction-dependent propagation and scalar–tensor mixing.
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Nonlinear Dynamics near the Threshold of Gravitational Collapse
Perturbation theory around flat space fails before black hole formation once peak luminosity exceeds ~10^-2 L_Planck; near criticality the spectrum flattens to 1/ω, matching the prediction from discrete self-similarity.
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Quantization of Gravity on Null Hypersurfaces
An operator-algebraic quantization of the characteristic initial-value problem yields a candidate on-shell algebra for a gravitational subregion bounded by two null hypersurfaces.
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Binary Black Hole Coalescence and the Dynamics of Scalar Hair in Einstein-Maxwell-Scalar Theory
Numerical simulations of binary black hole coalescence in EMS theory show dynamic triggering of scalar hair depending on coupling strength and remnant charge.
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Bound states and deconfinement from Romans supergravity with magnetic flux
Holographic duals from Romans supergravity with Abelian magnetic flux yield confining 4D theories with a flux-driven zero-temperature deconfinement transition and a spectrum dominated by two nearly degenerate light sc...
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Stationary solutions in the small-$c$ expansion of GR
The NLO/NNLO small-c (Carroll) expansion of GR admits a rich stationary vacuum sector with rotating Lense-Thirring-type, C-metric-type, Hartle-Thorne-type, and higher-multipole solutions, going beyond the static magne...
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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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Spectrum of pure $R^2$ gravity: full Hamiltonian analysis
Pure R^2 gravity propagates three degrees of freedom nonlinearly but zero linearly around Minkowski and other traceless-Ricci R=0 spacetimes due to ten second-class constraints becoming first-class upon linearization.
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Ultralight Boson Ionization from Comparable-Mass Binary Black Holes
Ionization of boson molecules bound to a black hole binary can dominate gravitational-wave losses during early inspiral, imprinting a turnover in the nanohertz GW background and circularizing the orbit.
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Covariant phase space and $L_\infty$ algebras
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M\"obius randomness in the Hartle-Hawking state
The Hartle-Hawking state for toroidal quantum cosmologies is expressed in the Langlands decomposition as a sum over zeta zeros whose near-singularity dynamics follow the Hilbert-Pólya Hamiltonian and as a Möbius avera...
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A new look at multi-gravity and dimensional deconstruction
Keeping the lapse free in deconstruction yields scalar-tensor multi-gravity, which reproduces 5D Randall-Sundrum brane cosmology equations in the continuum limit.
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Holographic observers for time-band algebras
In the presence of a macroscopic observer, the boundary time-band algebra in AdS can be deformed into a type II crossed-product algebra with a commutant, and the modular crossed product is the unique such algebra admi...
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Probing Gravity -- Fundamental Aspects of Metric Theories and their Implications for Tests of General Relativity
Gravitational wave memory is shown to arise naturally from the Isaacson backreaction formalism in general metric theories of gravity, unifying null and ordinary memory and providing a memory formula valid beyond GR.
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Problem of Time and Background Independence: classical version's higher Lie Theory
Extends classical Lie theory with Lie's Algorithm and a commuting pentagon invariance criterion to locally resolve the Problem of Time via background independence.
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Canonical Clock Sectors and Relational Frame Equivalence in Brans--Dicke Theory
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Gravitational Memory Beyond Null Infinity through Finite-Distance Carrollian Screens
Finite-distance null screens carry a Carrollian memory whose leading tracefree large-radius part reproduces the standard Bondi displacement memory in Robinson–Trautman spacetimes.
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Background-independent one-loop renormalization of tensor and scalar primordial spectra
UV divergences of one-loop primordial tensor and scalar spectra are absorbed by covariant and tadpole counterterms using only the universal WKB expansion of internal modes, yielding finite model-independent renormaliz...
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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks
Unsupervised Lorentzian PINNs with embedded S^{2} topology recover maximally extended Schwarzschild and yield candidate Petrov type-I vacuum black-hole metrics with genuinely trapped interiors.
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On phase-space singular surfaces in $f(R)$ gravity
Hamiltonian analysis reveals degenerate constraints on singular surfaces in f(R) gravity, leading to empty spectra on certain backgrounds and regularity conditions for dynamical crossings in Starobinsky model.
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GR from RG, $2d$ Example: JT-Gravity Induced from Renormalization Group Flow
Holographic RG flow on a 2D CFT induces JT gravity with bulk lapse as dilaton and recovers TTbar deformation in the Fefferman-Graham limit.
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Entropic route to Brown-York tensor: A unified framework for null and timelike hypersurfaces
An entropy functional yields the Brown-York tensor via conjugate momentum projection, unifying null and timelike hypersurfaces and reproducing equations in scalar-tensor gravity.
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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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Impact of numerical-relativity waveform calibration on parametrized post-Einsteinian tests
NR late-inspiral calibration systematics in IMRPhenomD produce false ppE GR violations at O5 SNRs ≳60; an uncertainty-aware baseline restores consistency with GR up to SNR 330.
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Light dilaton from top-down holographic confinement with magnetic fluxes
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Bosonic and fermionic statistics in nonperturbative quantum gravity
In loop quantum gravity, enforcing invariance under graph automorphisms produces fermionic and mixed-statistics sectors for the quanta of volume, not only bosonic ones.
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Toward claiming a detection of gravitational memory
A framework using scale separation in the Isaacson description defines observable gravitational memory rise for compact binary coalescences, providing a basis for hypothesis testing in LISA data.
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Geometric noise spectrum in interferometers
The noise spectrum an interferometer would see from quantum spacetime jitter is computed for vacuum, thermal, squeezed, and scalar-backreaction states; all are Planck-suppressed.
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On Modelling the Surfaces of Celestial Bodies in Quantum Gravity
A modified Tolman VII density profile with sufficient differentiability produces regular quantum corrections to stellar exteriors when computed with the Vilkovisky-DeWitt effective action.
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Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
Extended 1PA self-force waveforms for slowly spinning primary and precessing secondary, with re-summed 1PAT1R variant showing improved accuracy against NR for q ≳ 5 and |χ1| ≲ 0.1.
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Scalar fields from nonlinear sigma models on black hole spacetimes
Numerical evolutions show positive-curvature SL(2,R) sigma-model scalars create denser clouds and earlier binary mergers, while negative-curvature O(3) scalars spread out and delay mergers.
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Surg-InvNeRF: Invertible NeRF for 3D tracking and reconstruction in surgical vision
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Foundational Structure of Local Amplitudes in Quantum Gravity
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Canonical Form of Born-Infeld Inspired Gravity Coupled to Scalar Fields
Born-Infeld inspired gravity with minimally coupled scalar fields is rewritten in canonical form whose gravitational piece is identical to general relativity and whose matter piece carries complicated corrections.
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A Lattice Physics Approach to Spin-Networks in Loop Quantum Gravity
A toy model treating LQG spin-networks as a tetrahedral crystal derives a vertex Hamiltonian and estimates about twelve spin-0 graviton-like excitations per vertex, but relies on hand-picked parameters and invalid app...
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Leading Logarithm Quantum Gravity II
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Algebras, Entanglement Islands, and Observers
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Entropic Dynamics approach to Relational Quantum Mechanics
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Wheeler-DeWitt equation and Bondi-Metzner-Sachs (BMS) symmetry
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Anisotropic quantum universe in Ho\v{r}ava-Lifshitz gravity
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HBT Interferometry and Quantum Nature of Primordial Gravitational Waves in Ho\v{r}ava-Lifshitz Gravity
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Komar charge of N = 2 supergravity and its superspace generalization
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Gravitational memory and Ward identities in the local detector frame
Gravitational memory in TT gauge is encoded in large residual diffeomorphisms that equal BMS transformations, and their Ward identities yield soft graviton theorems and flat-space consistency relations.
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Quantum Rods and Clock in a Gravitational Universe
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Finite parts of inflationary loops
A new dimensional-regularization procedure extracts complete finite parts of inflationary loop integrals, yielding a regulator-independent one-loop tensor power spectrum in slow-roll inflation with no late-time divergence.
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Generators of Local Lorentz Transformation in ADM-Vielbein Formalism of Gravitational Relativity
In the tetrad (ADM-vielbein) form of general relativity, the authors build first-class constraints that generate the full local Lorentz group (rotations plus boosts) and verify the Lorentz algebra, but only for N=1, Ni=0.
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Local Operator Algebras of Charged States in Gauge Theory and Gravity
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Spacetime structure near generic horizons and soft hair
A family of horizon boundary conditions labeled by s yields BMS-like algebras with spin-s supertranslations, while another choice gives a non-linear Heisenberg-like algebra whose generators build the BMS-like ones.
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Quasi-local energy and ADM mass in pure Lovelock gravity
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Spacetime mappings of the Brown-York quasilocal energy
The Brown-York quasilocal energy transforms under conformal rescalings via Eq. (16) and under generalized Kerr-Schild maps via Eq. (34) in spherical symmetry, with no simple closed formula analogous to the Misner-Shar...
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Bimetric interactions based on metric congruences
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Coherent states versus Glauber-Sudarshan States: Bootstrapping, Schwinger-Keldysh Contours and Lefschetz Thimbles
Quasi-de Sitter spacetimes can be realized as Glauber-Sudarshan excited states built over supersymmetric Minkowski vacua, held consistent by a bootstrap self-consistency equation rather than by a potential minimum.
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$C^0$-inextendibility of a class of warped-product black hole spacetimes
Adapts Sbierski's proof to establish future C^0-inextendibility for warped-product black hole spacetimes with closed, connected, homogeneous, orientable fibres, including nonvacuum cases and multiple horizons.
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Ringdown Signatures of Dehnen Dark Matter Halos: Fluid Modes and Detectability with Space-Based Detectors
Numerical ringdown waveforms for black holes in Dehnen dark matter profiles are generated and analyzed for detectability and parameter inference using second-generation TDI in space-based detectors such as LISA, Taiji...
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Holographic pressure and volume for black holes
Introduces a holographic pressure and volume for static spherically symmetric black holes via quasi-local thermodynamics, showing large black holes become extensive in the large-system limit while small ones do not.
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Towards the consistent perturbative expansion in discrete gravity
A mixed finite-difference action plus a principal-value soft synchronous gauge is claimed to make lattice gravity perturbation theory reproduce continuum gravity at small momenta.
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