Thermal radiation in curved spacetime using influence functional formalism

• URL: http://arxiv.org/abs/2110.01264v2
• Date: Wed, 2 Feb 2022 09:59:45 GMT
• Title: Thermal radiation in curved spacetime using influence functional formalism
• Authors: Chiranjeeb Singha, Subhashish Banerjee
• Abstract summary: We consider a maximal analytical extension for all these spacetimes and different vacuum states. We show that the exponential scale transformation is responsible for the thermal nature of radiation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Generalizing to relativistic exponential scaling and using the theory of noise from quantum fluctuations, it has been shown that one vacuum (Rindler, Hartle-Hawking, or Gibbons-Hawking for the cases of the uniformly accelerated detector, black hole, and de-Sitter universe, respectively) can be understood as resulting from the scaling of quantum noise in another vacuum. We explore this idea more generally to establish a flat spacetime and curved spacetime analogy. For this purpose, we start by examining noise kernels for free fields in some well-known curved spacetimes, e.g., the spacetime of a charged black hole, the spacetime of a Kerr black hole, Schwarzschild-de Sitter, Schwarzschild anti-de Sitter, and Reissner-Nordstrom de-Sitter spacetimes. Here, we consider a maximal analytical extension for all these spacetimes and different vacuum states. We show that the exponential scale transformation is responsible for the thermal nature of radiation.

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