A classification of admissible energy density profiles with bounded Kretschmann scalar yields a unified framework for regular static spherically symmetric spacetimes satisfying the weak energy condition, recovering known models and producing new families with hypergeometric and other closed forms.
Poisson,A Relativist’s Toolkit: The Mathematics of Black-Hole Mechanics, Cambridge University Press (12, 2009), 10.1017/CBO9780511606601
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A generalized Komar charge constructed via Lagrange multiplier promotion of the coupling constant yields a Smarr formula including that constant's contribution for asymptotically flat black hole and soliton solutions in Einstein-NLED theories, with application to the Bardeen regular black hole.
The soft mode of DSSYK is dual to 3D near-de Sitter gravity with a localized dS2 slice, where effective actions, entropies, and correlators match via conformal boundary conditions on future and past infinity.
A logarithmic correction to Schwarzschild in static spherical symmetry obeys all classical energy conditions and serves as an effective exterior for horizon-bearing and horizonless compact objects.
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Families of regular spacetimes and energy conditions
A classification of admissible energy density profiles with bounded Kretschmann scalar yields a unified framework for regular static spherically symmetric spacetimes satisfying the weak energy condition, recovering known models and producing new families with hypergeometric and other closed forms.
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Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes
A generalized Komar charge constructed via Lagrange multiplier promotion of the coupling constant yields a Smarr formula including that constant's contribution for asymptotically flat black hole and soliton solutions in Einstein-NLED theories, with application to the Bardeen regular black hole.
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3D near-de Sitter gravity and the soft mode of DSSYK
The soft mode of DSSYK is dual to 3D near-de Sitter gravity with a localized dS2 slice, where effective actions, entropies, and correlators match via conformal boundary conditions on future and past infinity.
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Energy conditions in static, spherically symmetric spacetimes and effective geometries
A logarithmic correction to Schwarzschild in static spherical symmetry obeys all classical energy conditions and serves as an effective exterior for horizon-bearing and horizonless compact objects.