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Evaporation of Primordial Black Holes in a Thermal Universe: A Thermofield Dynamics Approach

2025/12/08 by Chatterjee, Ayan, Kalita, Jitumani, Maity, Debaprasad
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #Formalism (music) #General Relativity and Quantum Cosmology (gr-qc) #Hawking radiation #High Energy Physics - Theory (hep-th) #Inflation (cosmology) #Micro black hole #Primordial black hole #Quantum Electrodynamics and Casimir Effect #Quantum field theory in curved spacetime #Sonic black hole #Thermal #Thermal radiation

paper · open access · doi:10.48550/arxiv.2512.07284

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2025/12/08 · openalex created_date 2025/12/10 · openalex updated_date 2026/07/28

Abstract

We investigate the impact of a finite temperature environment on the Hawking radiation from black holes (BHs), with particular focus on Kerr BHs immersed in a cosmological thermal bath. The emitted particles from BHs interact with the thermal background and thermalize, leading to a modification in the Hawking radiation spectrum. By employing the methods of Thermofield Dynamics (TFD), a real time formalism of thermal quantum field theory, we derive the modified occupation numbers of the Hawking spectrum for asymptotically flat spacetimes like the Schwarzschild and the Kerr geometries. These corrections depend on the interplay between the BH temperature and the ambient bath temperature. We apply this formalism in the early universe reheating background scenario arising after inflation and demonstrate that the thermal correction to Hawking spectrum enhances the evaporation rate of primordial black holes (PBHs). As a result, the lifetime of PBH shortens compared to the zero temperature vacuum and leads to interesting cosmological consequences.

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