Thermal radiation in curved spacetime using influence functional formalism
arXiv:2110.01264 · doi:10.1103/PhysRevD.105.045020
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.
arXiv commentModified version, to appear in Phys. Rev. D
References in corpus (44)
- The Unruh effect and its applications
- Classical Equations for Quantum Systems
- Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
- Radiation via Tunneling from a de Sitter Cosmological Horizon
- The Kerr Metric
- Temperature and entropy of Schwarzschild-de Sitter space-time
- Hawking Radiation from Rotating Black Holes and Gravitational Anomalies
- Quantum Brownian Motion in a Bath of Parametric Oscillators: A model for system-field interactions
- Perturbations of Kerr-de Sitter Black Hole and Heun's Equations
- "Kerrr" black hole: the Lord of the String
- The Kerr spacetime: A brief introduction
- Quasinormal behavior of massless scalar field perturbation in Reissner-Nordstrom anti-de Sitter spacetimes
- Quantum Instability of the Cauchy Horizon in Reissner-Nordström-deSitter Spacetime
- Conserved Quantities in Kerr-anti-de Sitter Spacetimes in Various Dimensions
- Hawking radiation, Unruh radiation and the equivalence principle
- Exercices de style: a homotopy theory for set theory, I
- Stochastic Theory of Accelerated Detectors in a Quantum Field
- Concept of temperature in multi-horizon spacetimes: Analysis of Schwarzschild-De Sitter metric
- Accelerating Kerr-Newman black holes in (anti-)de Sitter space-time
- Mass function and particle creation in Schwarzschild-de Sitter spacetime
- Schwarzschild and Kerr Solutions of Einstein's Field Equation -- an introduction
- Unruh Effect under Non-equilibrium conditions: Oscillatory motion of an Unruh-DeWitt detector
- Nonthermal nature of incipient extremal black holes
- Entropy of Reissner-Nordström-de Sitter black hole
- Hawking Radiation of Schwarzschild-de Sitter Black Hole by Hamilton-Jacobi method
- Black Hole Fluctuations and Backreaction in Stochastic Gravity
- On Charged Black Holes in Anti-de Sitter Space
- Schwarzschild-de Sitter spacetime: the role of Temperature in the emission of Hawking radiation
- Entropy of Kerr-de Sitter black hole
- Characterization of Unruh Channel in the context of Open Quantum Systems
- Influence Functionals and the Accelerating Detector
- Greybody factor of scalar field from Reissner-Nordstrom-de Sitter black hole
- Kerr-(Anti-)de Sitter Black Holes: Perturbations and quasi-normal modes in the slow rotation limit
- Hawking radiation from extremal and non-extremal black holes
- Gravitational Lensing in Kerr-Newman Anti de Sitter Spacetime
- A novel derivation of the rotating black hole metric
- Global Hawking Temperature of Schwarzschild-de Sitter Spacetime: a Topological Approach
- Is the semi-classical analysis valid for extreme black holes?
- Hawking-Unruh Thermal Radiance as Relativistic Exponential Scaling of Quantum Noise
- Hawking Non-thermal and Thermal Radiations of Schwarzschild Anti-de Sitter Black Hole by Hamilton-Jacobi method
- The Hawking Temperature of Anti-de Sitter Black Holes: Topology and Phase Transitions
- Stability of Schwarzschild (Anti)de Sitter black holes in Conformal Gravity
- Zero temperature black holes and the failure of semi-classical analysis
- Thermodynamics of phase transition in Reissner-Nordstrom-de Sitter spacetime