Unique quasi-topological theories with first-order equations are found for Taub-NUT, NHEK, swirling and related 4D symmetric metrics, enabling closed-form solutions and regular black holes from high-order curvature corrections.
Quest for realistic non-singular black-hole geometries: regular-center type
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
citation-role summary
background 3
citation-polarity summary
roles
background 3polarities
background 3representative citing papers
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.
Trapped black hole interiors admit exact time-dependent classical double copy via Kantowski-Sachs patches from static Kerr-Schild data, characterized by p_parallel = -ρ, with finite single-copy fields in regular solutions like Bardeen.
Regular black holes are constructed by prescribing finite curvature invariants with analytic profiles, yielding singularity-free geometries whose quasinormal mode stability depends on the effective potential's peak-to-valley ratio.
citing papers explorer
-
Quasi-topological gravity for 4-dimensional Taub-NUT, near-horizon extreme Kerr, and swirling symmetries
Unique quasi-topological theories with first-order equations are found for Taub-NUT, NHEK, swirling and related 4D symmetric metrics, enabling closed-form solutions and regular black holes from high-order curvature corrections.
-
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.
-
Finite Curvature Construction of Regular Black Holes and Quasinormal Mode Analysis
Regular black holes are constructed by prescribing finite curvature invariants with analytic profiles, yielding singularity-free geometries whose quasinormal mode stability depends on the effective potential's peak-to-valley ratio.
- Energy conditions in static, spherically symmetric spacetimes and effective geometries