Infinite-derivative completions of quasitopological gravities are ghost-free, avoid strong coupling, and admit exact spherically symmetric vacuum regular black holes obeying a perturbative Birkhoff theorem.
Regular Black Holes in Quasitopological Gravity: Null Shells and Mass Inflation
9 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We investigate the phenomenon of mass inflation in the interior of regular black holes arising in quasitopological gravity (QTG). These geometries are characterized by a bounded curvature core and the presence of an inner (Cauchy) horizon located near the fundamental scale $\ell$. To examine whether mass inflation persists in this setting, we model the interaction of ingoing and outgoing perturbations by considering the collision of two spherical null shells inside the black hole. Using the Dray-'t\,Hooft-Barrabes-Israel junction condition, we derive conditions under which the metric function and curvature invariants may experience significant amplification near the inner horizon. Our analysis shows that, unlike in classical Reissner--Nordstr\"om or Kerr geometries, significant mass inflation requires shell intersection at radii very close to the horizon, with radial separations from it of the order $r-r_* \lesssim \ell \big(\ell/r_g\big)^{2n(D-3)}$, where $r_g$ is the gravitational radius of the black hole, $D$ is the number of spacetime dimensions and $n\ge 1$ is a parameter depending on a concrete QTG model. For macroscopic black holes with $r_g\gg \ell$ this distance is much smaller than the fundamental scale $\ell$. We discuss possible consequences of this effect.
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Regular black holes in quasi-topological gravity lack null thin shells in standard distributional theory, invalidating the usual mass inflation derivation and leaving inner horizon stability unresolved.
All integrable 2D Horndeski theories (and thus many regular black-hole metrics) arise as spherical reductions of pure d≥4 gravities, which the paper terms quasi-topological.
Dynamical black-hole-to-white-hole transitions require a violation of the null convergence condition for the trapped region to disappear and the anti-trapped region to form.
Inner-extremal regular black holes in polymerized LQG vacuum exist only for tuned masses and mass inflation is probed via null-shell collisions, with dependence on the minimal length scale.
A unified framework links the generating function for static black holes satisfying g_tt g_rr=-1 in extended quasi-topological gravity to thermodynamic mass and Wald entropy via an effective 2D dilaton theory.
Derives exact charged black hole solutions in quasi-topological gravity with Born-Infeld electrodynamics, showing model-dependent regularity with some cases having finite-radius singularities and others replacing de Sitter cores with anti-de Sitter cores.
A regular black hole metric is constructed with sub-Planckian curvature controlled by the inner horizon radius and power-law rather than exponential mass inflation near the inner horizon.
Higher dimensional regular black holes in quasi-topological gravity have suppressed grey-body factors and Hawking radiation compared to singular black holes in general relativity.
citing papers explorer
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Regular Black Holes in Nonlocal Quasitopological Gravity
Infinite-derivative completions of quasitopological gravities are ghost-free, avoid strong coupling, and admit exact spherically symmetric vacuum regular black holes obeying a perturbative Birkhoff theorem.
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On mass inflation and thin shells in quasi-topological gravity
Regular black holes in quasi-topological gravity lack null thin shells in standard distributional theory, invalidating the usual mass inflation derivation and leaving inner horizon stability unresolved.
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All $2D$ generalised dilaton theories from $d\geq 4$ gravities
All integrable 2D Horndeski theories (and thus many regular black-hole metrics) arise as spherical reductions of pure d≥4 gravities, which the paper terms quasi-topological.
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Null geodesic defocusing in dynamical black-hole-to-white-hole transitions
Dynamical black-hole-to-white-hole transitions require a violation of the null convergence condition for the trapped region to disappear and the anti-trapped region to form.
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Probing mass inflation in polymerized vacuum regular black holes via colliding null shells
Inner-extremal regular black holes in polymerized LQG vacuum exist only for tuned masses and mass inflation is probed via null-shell collisions, with dependence on the minimal length scale.
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$g_{tt}g_{rr} =-1$ black hole thermodynamics in extended quasi-topological gravity
A unified framework links the generating function for static black holes satisfying g_tt g_rr=-1 in extended quasi-topological gravity to thermodynamic mass and Wald entropy via an effective 2D dilaton theory.
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Charged Black Holes in Quasi-Topological Gravity Coupled to Born-Infeld Nonlinear Electrodynamics
Derives exact charged black hole solutions in quasi-topological gravity with Born-Infeld electrodynamics, showing model-dependent regularity with some cases having finite-radius singularities and others replacing de Sitter cores with anti-de Sitter cores.
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Regular black hole with sub-Planckian curvature and suppressed exponential mass inflation
A regular black hole metric is constructed with sub-Planckian curvature controlled by the inner horizon radius and power-law rather than exponential mass inflation near the inner horizon.
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Grey-body factors of higher dimensional regular black holes in quasi-topological theories
Higher dimensional regular black holes in quasi-topological gravity have suppressed grey-body factors and Hawking radiation compared to singular black holes in general relativity.