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PreprintCC BY 4.0arXiv

Thermal Casimir Effect in A Schwarzschild-like Wormhole Spacetime

Abstract

We study the finite-temperature Casimir effect for a massless scalar field confined between two parallel plates in a Schwarzschild-like wormhole spacetime. Imposing Dirichlet boundary conditions, we compute the renormalized Casimir free energy in the comoving frame. We find that the thermal correction to the renormalized Casimir free energy decreases gradually with the temperature and becomes independent of the background geometry in this frame. Thermodynamic quantities derived from the Casimir free energy, namely, the renormalized Casimir entropy, internal energy, and heat capacity at constant volume, exhibit distinct temperature dependence. At low temperatures, all thermodynamic quantities recover the expected behavior, consistent with the fundamental laws of thermodynamics. These results provide a compact framework for analyzing quantum vacuum forces in gravitational backgrounds.

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BibTeX
@misc{romadani2026thermal,
  title = {{Thermal Casimir Effect in A Schwarzschild-like Wormhole Spacetime}},
  author = {Arista Romadani and Apriadi Salim Adam and Ar Rohim and Bintoro Anang Subagyo and Agus Purwanto},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.26743},
  eprint = {2605.26743},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.26743},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Thermal Casimir Effect in A Schwarzschild-like Wormhole Spacetime
AU  - Arista Romadani
AU  - Apriadi Salim Adam
AU  - Ar Rohim
AU  - Bintoro Anang Subagyo
AU  - Agus Purwanto
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2605.26743
UR  - https://arxiv.org/abs/2605.26743
AB  - We study the finite-temperature Casimir effect for a massless scalar field confined between two parallel plates in a Schwarzschild-like wormhole spacetime. Imposing Dirichlet boundary conditions, we compute the renormalized Casimir free energy in the comoving frame. We find that the thermal correction to the renormalized Casimir free energy decreases gradually with the temperature and becomes independent of the background geometry in this frame. Thermodynamic quantities derived from the Casimir free energy, namely, the renormalized Casimir entropy, internal energy, and heat capacity at constant volume, exhibit distinct temperature dependence. At low temperatures, all thermodynamic quantities recover the expected behavior, consistent with the fundamental laws of thermodynamics. These results provide a compact framework for analyzing quantum vacuum forces in gravitational backgrounds.
ER  -