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PreprintCC BY-NC-ND 4.0arXiv

The Evolution of Self-Gravitating Radiating Geodesic Fluid Spheres Instantaneously Admitting a Time-Like Killing

  • L. Herrera
  • A. Di prisco
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Abstract

In this study we analyze the effects produced by the sudden appearance of a time-like Killing vector (TKV), on the evolution of radiating geodesic fluids. This is achieved by resorting to the concept of asymmetry factor which allows the instantaneous appearance of a given symmetry for a given value of the time-like coordinate. All relevant physical variables are analyzed in detail showing the imprints of the emergence of TKV at some point of the evolution. The main lesson that can be extracted from the obtained results is that the sudden appearance of a TKV, even for an infinitesimal period of time, drastically changes the subsequent evolution of the system. Of particular relevance is the appearance of a thermal effect linking the asymmetry factor and the relaxation time. The potential applications of these results, on the study of gravitational collapse, are discussed at the end of the paper.

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Cite

BibTeXRIS
BibTeX
@misc{herrera2026evolution,
  title = {{The Evolution of Self-Gravitating Radiating Geodesic Fluid Spheres Instantaneously Admitting a Time-Like Killing}},
  author = {L. Herrera and A. Di prisco},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32773},
  eprint = {2610.32773},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32773},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - The Evolution of Self-Gravitating Radiating Geodesic Fluid Spheres Instantaneously Admitting a Time-Like Killing
AU  - L. Herrera
AU  - A. Di prisco
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32773
UR  - https://arxiv.org/abs/2610.32773
AB  - In this study we analyze the effects produced by the sudden appearance of a time-like Killing vector (TKV), on the evolution of radiating geodesic fluids. This is achieved by resorting to the concept of asymmetry factor which allows the instantaneous appearance of a given symmetry for a given value of the time-like coordinate. All relevant physical variables are analyzed in detail showing the imprints of the emergence of TKV at some point of the evolution. The main lesson that can be extracted from the obtained results is that the sudden appearance of a TKV, even for an infinitesimal period of time, drastically changes the subsequent evolution of the system. Of particular relevance is the appearance of a thermal effect linking the asymmetry factor and the relaxation time. The potential applications of these results, on the study of gravitational collapse, are discussed at the end of the paper.
ER  -