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Quantum effects near the Cauchy horizon of a Reissner-Nordstrom black hole
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abstract
We consider a massless, minimally-coupled quantum scalar field on a Reissner-Nordstrom black hole background, and we study the leading asymptotic behavior of the expectation value of the stress energy tensor operator $\langle\hat{T}_{\mu\nu}\rangle_{ren}$ and of $\langle\hat{\Phi}^{2}\rangle_{ren}$ near the inner horizon, in both the Unruh and the Hartle-Hawking quantum states. We find that the coefficients of the expected leading-order divergences of these expectation values vanish, indicating that the modifications of the classical geometry due to quantum vacuum effects might be weaker than expected. In addition, we calculate the leading-order divergences of $\langle\hat{T}_{\mu\nu}\rangle_{ren}$ and of $\langle\hat{\Phi}^{2}\rangle_{ren}$ in the Boulware state near the outer (event) horizon, and we obtain analytical expressions that correspond to previous numerical results.
Forward citations
Cited by 4 Pith papers
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The Structure of Quantum Singularities on a Cauchy Horizon
A QFT construction based on defect operators in the causal complement predicts a universal, index-dependent bound on robust Cauchy horizon singularities, explaining the observed mildness.
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Cauchy Horizon (In)Stability of Regular Black Holes
For regular black holes, the Cauchy horizon mass typically grows exponentially or as a power law; for the asymptotically safe collapse model it grows logarithmically, reaching the horizon without a transient mass-infl...
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Inner horizon instability via the trace anomaly effective action
The anomaly-induced effective action can reproduce the Hartle-Hawking stress-energy divergence at the Cauchy horizon of Reissner-Nordström, but lacks enough freedom to describe the Unruh state.
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