JT gravity in a box is quantized exactly by recasting its dynamics as Pöschl-Teller scattering, producing closed-form wavefunctions and correlators with finite-cutoff corrections beyond T Tbar.
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Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
Canonical reference. 83% of citing Pith papers cite this work as background.
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abstract
The quasilocal energy of gravitational and matter fields in a spatially bounded region is obtained by employing a Hamilton-Jacobi analysis of the action functional. First, a surface stress-energy-momentum tensor is defined by the functional derivative of the action with respect to the three-metric on ${}^3B$, the history of the system's boundary. Energy density, momentum density, and spatial stress are defined by projecting the surface stress tensor normally and tangentially to a family of spacelike two-surfaces that foliate ${}^3B$. The integral of the energy density over such a two-surface $B$ is the quasilocal energy associated with a spacelike three-surface $\Sigma$ whose intersection with ${}^3B$ is the boundary $B$. The resulting expression for quasilocal energy is given in terms of the total mean curvature of the spatial boundary $B$ as a surface embedded in $\Sigma$. The quasilocal energy is also the value of the Hamiltonian that generates unit magnitude proper time translations on ${}^3B$ in the direction orthogonal to $B$. Conserved charges such as angular momentum are defined using the surface stress tensor and Killing vector fields on ${}^3B$. For spacetimes that are asymptotically flat in spacelike directions, the quasilocal energy and angular momentum defined here agree with the results of Arnowitt-Deser-Misner in the limit that the boundary tends to spatial infinity. For spherically symmetric spacetimes, it is shown that the quasilocal energy has the correct Newtonian limit, and includes a negative contribution due to gravitational binding.
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representative citing papers
Proposes stress tensor deformation dictionary in dS/CFT via metric-flow and mixed boundary conditions at future infinity, with exact consistency check in Kerr-dS3/CFT2 and pseudo entropy computations for TTbar and root-TTbar deformations.
Gravitational edge modes from spacetime surgery act as effective dark matter by flattening galaxy rotation curves through modified particle trajectories.
For charged de Sitter black holes, choosing the Bousso-Hawking observer normalization keeps the heat capacity finite in the Nariai limit, removing the expected log-T breakdown except in the cold and ultracold limits.
In AdS3 gravity with double-trace scalar boundary conditions, zero-frequency boson stars are the true ground state below the instability threshold, and hairy black holes carry higher entropy than BTZ at fixed mass and angular momentum.
A constrained product of two dressed one-sided dS quantum systems yields a holographic dual whose top-band TFD and lower tall states capture the future wedge and overlapping causal wedges.
Boundary observables analogous to Brown-York charges are constructed in free and interacting string field theory, with examples in open and closed SFT.
Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.
No half-dimensional gravitino boundary condition—local or APS-type—closes the preserved chiral supersymmetry with Witten's conformal bosonic data; the trace-free extrinsic curvature is both the free response and the supersymmetry obstruction.
Applies a thermodynamic representation framework to quasi-local Schwarzschild black holes, deriving representation-dependent stability, negative thermal expansion, and cooling under isenthalpic expansion.
An entropy functional yields the Brown-York tensor via conjugate momentum projection, unifying null and timelike hypersurfaces and reproducing equations in scalar-tensor gravity.
A covariant zoom-in perturbation theory framework resolves geodesic breakdown via hierarchical matter horizons, producing an effective energy-momentum tensor whose backreaction explains flat galaxy rotation curves without dark matter.
A semi-classical symplectic two-form is defined as the sum of the gravitational symplectic form and the Berry curvature of the quantum matter state; it is shown to be independent of the Cauchy slice and to satisfy a quantum generalization of the Hollands-Iyer-Wald identity.
For m²L²=-2 in AdS black holes with integrable mixed boundary conditions, the cubic coefficient in the near-boundary expansion of the solution-dependent W(φ) is fixed by the boundary deformation to ensure a well-posed variational principle and finite renormalized action.
Inhomogeneous torus boundaries in 3D gravity are thermodynamically favourable for AdS in the range 2 < K |Λ|^{-1/2} < 3/√2 and support macroscopic entropy for all Λ.
Quasi-local restricted phase space for RN black holes adds pressure and area variables, producing isocharge temperature-entropy transitions and neutral Hawking-Page-like transitions absent in the asymptotic description.
Explicit quasi-local formulae for celestial higher-spin charges and multipoles are given on finite 2-surfaces using higher-valence twistor solutions, with a phase-space derivation from self-dual gravity.
New exact solutions to d-dimensional Einstein-scalar gravity are generated in Weyl form that incorporate multipolar scalars and magnetic fields, with limits matching scalar versions of Schwarzschild-Melvin and Fisher-Janis-Newman-Winicour spacetimes.
A necessary and sufficient condition for thermodynamic mimicry of Schwarzschild black holes is satisfied by a one-parameter family of self-similar systems including hillingar black holes, stiffest stars, and frozen stars, derived from photon-sphere control of junction conditions and the TOV equation
Proposes reducing quantum gravity dynamics to Regge-Teitelboim boundary charges in an asymptotic proper-time gauge, yielding a Berry-phase effective Hamiltonian after integrating out bulk modes.
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.
In f(Q) symmetric teleparallel gravity, accelerating expansion is geometric; dynamical analysis of f(Q)=Q+αQ² yields five critical points with stable de Sitter (P4) and matter-dominated (P5) attractors.
Multi-fractional Schwarzschild black holes have profile-insensitive Noether mass and geometric area-law entropy, but require an extended first law with work terms for the q-profile parameters to restore integrability of the Clausius relation.
Generalized Buchdahl bounds on horizonless object compactness are derived in the presence of a cosmological constant, preserving universality while yielding method-dependent results.
citing papers explorer
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Quantum JT Gravity in a box as a P\"oschl-Teller Scattering Problem
JT gravity in a box is quantized exactly by recasting its dynamics as Pöschl-Teller scattering, producing closed-form wavefunctions and correlators with finite-cutoff corrections beyond T Tbar.
-
Stress Tensor Deformations in dS/CFT: Mixed Boundary Conditions, Spectrum Flow and Pseudo Entropy
Proposes stress tensor deformation dictionary in dS/CFT via metric-flow and mixed boundary conditions at future infinity, with exact consistency check in Kerr-dS3/CFT2 and pseudo entropy computations for TTbar and root-TTbar deformations.
-
Gravitational edge mode powers galaxy flat rotation curves
Gravitational edge modes from spacetime surgery act as effective dark matter by flattening galaxy rotation curves through modified particle trajectories.
-
Limits on the Statistical Description of Charged de Sitter Black Holes
For charged de Sitter black holes, choosing the Bousso-Hawking observer normalization keeps the heat capacity finite in the Nariai limit, removing the expected log-T breakdown except in the cold and ultracold limits.
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When AdS$_3$ Grows Hair: Boson Stars, Black Holes, and Double-Trace Deformations
In AdS3 gravity with double-trace scalar boundary conditions, zero-frequency boson stars are the true ground state below the instability threshold, and hairy black holes carry higher entropy than BTZ at fixed mass and angular momentum.
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The yes boundaries wavefunctions of the universe
A constrained product of two dressed one-sided dS quantum systems yields a holographic dual whose top-band TFD and lower tall states capture the future wedge and overlapping causal wedges.
-
Boundary observables in string field theory
Boundary observables analogous to Brown-York charges are constructed in free and interacting string field theory, with examples in open and closed SFT.
-
Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions
Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.
-
A Linearized Obstruction to the Supersymmetric Extension of Conformal Boundary Conditions in Euclidean Gravity
No half-dimensional gravitino boundary condition—local or APS-type—closes the preserved chiral supersymmetry with Witten's conformal bosonic data; the trace-free extrinsic curvature is both the free response and the supersymmetry obstruction.
-
Black hole equations of state and response functions
Applies a thermodynamic representation framework to quasi-local Schwarzschild black holes, deriving representation-dependent stability, negative thermal expansion, and cooling under isenthalpic expansion.
-
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.
-
Cosmological zoom-in perturbation theory as a consistent beyond point-particle approximation framework
A covariant zoom-in perturbation theory framework resolves geodesic breakdown via hierarchical matter horizons, producing an effective energy-momentum tensor whose backreaction explains flat galaxy rotation curves without dark matter.
-
Covariant phase space and the semi-classical Einstein equation
A semi-classical symplectic two-form is defined as the sum of the gravitational symplectic form and the Berry curvature of the quantum matter state; it is shown to be independent of the Cauchy slice and to satisfy a quantum generalization of the Hollands-Iyer-Wald identity.
-
Holographic renormalization and the variational problem for mixed boundary conditions via a solution-dependent superpotential-like function
For m²L²=-2 in AdS black holes with integrable mixed boundary conditions, the cubic coefficient in the near-boundary expansion of the solution-dependent W(φ) is fixed by the boundary deformation to ensure a well-posed variational principle and finite renormalized action.
-
Undulating Conformal Boundaries in 3D Gravity
Inhomogeneous torus boundaries in 3D gravity are thermodynamically favourable for AdS in the range 2 < K |Λ|^{-1/2} < 3/√2 and support macroscopic entropy for all Λ.
-
Black holes at a finite distance: Quasi-local restricted phase space formalism
Quasi-local restricted phase space for RN black holes adds pressure and area variables, producing isocharge temperature-entropy transitions and neutral Hawking-Page-like transitions absent in the asymptotic description.
-
Quasi-Local Celestial Charges and Multipoles
Explicit quasi-local formulae for celestial higher-spin charges and multipoles are given on finite 2-surfaces using higher-valence twistor solutions, with a phase-space derivation from self-dual gravity.
-
Weyl-type solutions with multipolar scalar fields
New exact solutions to d-dimensional Einstein-scalar gravity are generated in Weyl form that incorporate multipolar scalars and magnetic fields, with limits matching scalar versions of Schwarzschild-Melvin and Fisher-Janis-Newman-Winicour spacetimes.
-
As Cold as a Black Hole: Extended Photon Spheres
A necessary and sufficient condition for thermodynamic mimicry of Schwarzschild black holes is satisfied by a one-parameter family of self-similar systems including hillingar black holes, stiffest stars, and frozen stars, derived from photon-sphere control of junction conditions and the TOV equation
-
Quantum Gravity Beyond the Bulk
Proposes reducing quantum gravity dynamics to Regge-Teitelboim boundary charges in an asymptotic proper-time gauge, yielding a Berry-phase effective Hamiltonian after integrating out bulk modes.
-
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.
-
Cosmology in symmetric teleparallel gravity and its dynamical system
In f(Q) symmetric teleparallel gravity, accelerating expansion is geometric; dynamical analysis of f(Q)=Q+αQ² yields five critical points with stable de Sitter (P4) and matter-dominated (P5) attractors.
-
Noether charges and the first law of thermodynamics for multifractional Schwarzschild black hole in the q-derivative theory
Multi-fractional Schwarzschild black holes have profile-insensitive Noether mass and geometric area-law entropy, but require an extended first law with work terms for the q-profile parameters to restore integrability of the Clausius relation.
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Buchdahl stars and bounds with cosmological constant
Generalized Buchdahl bounds on horizonless object compactness are derived in the presence of a cosmological constant, preserving universality while yielding method-dependent results.
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A new rotating axionic AdS$_4$ black hole dressed with a scalar field
A new axionically charged rotating AdS4 black hole solution with scalar field is presented, defined by a structural function and parameters, with thermodynamics derived via Euclidean method satisfying the first law.
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Cone hierarchy and the screening of matter by gravity
The Harmonic Background Paradigm is conjectured to extend to nonlinear gravity via a screening mechanism in which negative-energy gravitational clouds surround but never overcome positive-energy seeds, connected through a causal cone hierarchy.
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- Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography