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Peer-reviewedCC BY 4.0Physical Review D

Heat propagation in rotating relativistic bodies

  • Lorenzo Gavassino
  • Marco Antonelli
Open at sourcePDFDOICite

Abstract

We investigate heat propagation in rigidly rotating bodies within the theory of general relativity. Using a first-order gradient expansion, we derive a universal partial differential equation governing the temperature evolution. This equation is hyperbolic, causal, and stable, and it naturally accounts for both rotational and gravitational Tolman-Ehrenfest effects. Any other first-order theory consistent with established physics (including the parabolic theories used in neutron star cooling models) must be equivalent to our formulation within an error that is of higher order in gradients. As a case study, we analyze heat transfer in solid cylinders rotating around their symmetry axis, so that the tangential speed approaches the speed of light on the surface. We also compute the relativistic rotational corrections to the cooling law of black bodies.

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Cite

BibTeXRIS
BibTeX
@article{gavassino2026heat,
  title = {{Heat propagation in rotating relativistic bodies}},
  author = {Lorenzo Gavassino and Marco Antonelli},
  journal = {Physical Review D},
  year = {2026},
  month = sep,
  doi = {10.1103/4g4w-ypmf},
  eprint = {2509.00198},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05248271v1},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Heat propagation in rotating relativistic bodies
AU  - Lorenzo Gavassino
AU  - Marco Antonelli
PY  - 2026
DA  - 2026/09/23
JO  - Physical Review D
DO  - 10.1103/4g4w-ypmf
UR  - https://hal.science/hal-05248271v1
AB  - We investigate heat propagation in rigidly rotating bodies within the theory of general relativity. Using a first-order gradient expansion, we derive a universal partial differential equation governing the temperature evolution. This equation is hyperbolic, causal, and stable, and it naturally accounts for both rotational and gravitational Tolman-Ehrenfest effects. Any other first-order theory consistent with established physics (including the parabolic theories used in neutron star cooling models) must be equivalent to our formulation within an error that is of higher order in gradients. As a case study, we analyze heat transfer in solid cylinders rotating around their symmetry axis, so that the tangential speed approaches the speed of light on the surface. We also compute the relativistic rotational corrections to the cooling law of black bodies.
SN  - 2470-0010
SN  - 2470-0029
ER  -