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.
The Gravitational Hamiltonian, Action, Entropy, and Surface Terms
4 Pith papers cite this work, alongside 718 external citations. Polarity classification is still indexing.
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abstract
We give a general derivation of the gravitational hamiltonian starting from the Einstein-Hilbert action, keeping track of all surface terms. The surface term that arises in the hamiltonian can be taken as the definition of the `total energy', even for spacetimes that are not asymptotically flat. (In the asymptotically flat case, it agrees with the usual ADM energy.) We also discuss the relation between the euclidean action and the hamiltonian when there are horizons of infinite area (e.g. acceleration horizons) as well as the usual finite area black hole horizons. Acceleration horizons seem to be more analogous to extreme than nonextreme black holes, since we find evidence that their horizon area is not related to the total entropy.
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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, and TianQin.
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.
Stationary black holes obey ordinary thermodynamics but cosmology requires memory-bearing teleodynamics, with horizon memory causing deviations from the area law.
citing papers explorer
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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.
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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, and TianQin.
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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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Thermodynamics vs Teleodynamics: A Cosmological Divide?
Stationary black holes obey ordinary thermodynamics but cosmology requires memory-bearing teleodynamics, with horizon memory causing deviations from the area law.