Naked singularity, firewall, and Hawking radiation

Abstract

Spacetime singularity has always been of interest since the proof of the Penrose-Hawking singularity theorem. Naked singularity naturally emerges from reasonable initial conditions in the collapsing process. A recent interesting approach in black hole information problem implies that we need a firewall to break the surplus entanglements among the Hawking photons. Classically, the firewall becomes a naked singularity. We find some vacuum analytical solutions in $R^n$-gravity of the firewall-type and use these solutions as concrete models to study the naked singularities. By using standard quantum theory, we investigate the Hawking radiation emitted from the black holes with naked singularities. Here we show that the singularity itself does not destroy information. A unitary quantum theory works well around a firewall-type singularity. We discuss the validity of our result in general relativity. Further our result demonstrates that the temperature of the Hawking radiation still can be expressed in the form of the surface gravity divided by $2\pi$. This indicates that a naked singularity may not compromise the Hakwing evaporation process.

arXiv comment6 pages, 1 fig

References in corpus (12)

• Hawking Radiation as Tunneling
• Black Holes: Complementarity or Firewalls?
• Black holes as mirrors: quantum information in random subsystems
• Information in Black Hole Radiation
• Effective Holographic Theories for low-temperature condensed matter systems
• GW150914: Implications for the stochastic gravitational wave background from binary black holes
• Time Dependence of Hawking Radiation Entropy
• On the Occurrence of Naked Singularity in Spherically Symmetric Gravitational Collapse
• Naked Black Hole Firewalls
• Schwarzschild Singularity is Semi-Regularizable
• Mass of a Black Hole Firewall
• From thermodynamics to the solutions in gravity theory

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