Naked Singularity and Thunderbolt

Abstract

We consider quantum theoretical effects of the sudden change of the boundary conditions which mimics the occurrence of naked singularities. For a simple demonstration, we study a massless scalar field in $(1+1)$-dimensional Minkowski spacetime with finite spatial interval. We calculate the vacuum expectation value of the energy-momentum tensor and explicitly show that singular wave or {\em thunderbolt} appears along the Cauchy horizon. The thunderbolt possibly destroys the Cauchy horizon if its backreaction on the geometry is taken into account, leading to quantum restoration of the global hyperbolicity. The result of the present work may also apply to the situation that a closed string freely oscillating is traveling to a brane and changes itself to an open string pinned-down by the ends satisfying the Dirichlet boundary conditions on the brane.

12 pages, 1 figure, references added, to appear in Phys. Rev. D

References in corpus (2)

• The singularity problem in string theory
• Generalised hyperbolicity: hypersurface singularities

Cited by in corpus (9)

• Black Holes and Thunderbolt Singularities with Lifshitz Scaling Terms
• Dilaton gravity with a boundary: from unitarity to black hole evaporation
• Vacuum excitation by sudden appearance and disappearance of a Dirichlet wall in a cavity
• Particle Production Between Isometric Frames on a Poincaré Patch of ${\text{AdS}}_2$
• Explosive particle creation by instantaneous change of boundary condition
• Singularity at the demise of a black hole
• Finite energy quantization on a topology changing spacetime
• Unstable mode and the Unruh-DeWitt detector
• New time-dependent solutions of viable Horndeski gravity