Divergence of the Quantum Stress Tensor on the Cauchy Horizon in 2-d Dust Collapse

Abstract

We prove that the quantum stress tensor for a massless scalar field in two dimensional non-selfsimilar Tolman Bondi dust collapse and Vaidya radiation collapse models diverges on the Cauchy horizon, if the latter exists. The two dimensional model is obtained by suppressing angular co-ordinates in the corresponding four dimensional spherical model.

16 pages, no figures, LaTeX file

Cited by in corpus (10)

• Toward a Midisuperspace Quantization of LeMaitre-Tolman-Bondi Collapse Models
• Naked singularities and quantum gravity
• Quantum general relativity and Hawking radiation
• Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime I. Classical Solutions
• Toward a Quantization of Null Dust Collapse
• Noise Kernel for Self-similar Tolman Bondi Metric: Fluctuations on Cauchy Horizon
• Particle creation in (2+1) circular dust collapse
• Analytic derivation of the map of null rays passing near a naked singularity
• Noise Kernel for Reissner Nordstrom Metric: Results at Cauchy Horizon
• Cauchy horizon stability in a collapsing spherical dust cloud. II: Energy bounds for test fields and odd-parity gravitational perturbations