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Peer-reviewedCC BYThe European Physical Journal C

Effective matter sectors from modified entropies

  • Ankit Anand1
  • Sahil Devdutt2
  • Kimet Jusufi3
  • Emmanuel N. Saridakis4,5,6
6 affiliations
  1. 1Indian Institute of Technology
  2. 2Central University of Himachal Pradesh
  3. 3State University of Tetovo
  4. 4National Observatory of Athens
  5. 5Universidad Católica del Norte
  6. 6University of Science and Technology of China
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Abstract

We present a general formalism linking modified entropy functions directly to a modified spacetime metric and, subsequently, to an effective matter sector of entropic origin. In particular, within the framework of general relativity, starting from the first law of black-hole thermodynamics we establish an explicit correspondence between the entropy derivative and the metric function, which naturally leads to an emergent stress-energy tensor representing an anisotropic effective fluid. This backreaction effect of horizon entropy may resolve possible inconsistencies recently identified in black hole physics with modified entropies. As specific examples, we apply this procedure to a wide class of modified entropies, such as Barrow, Tsallis–Cirto, Rényi, Kaniadakis, logarithmic, power-law, loop-quantum-gravity, and exponential modifications, and we derive the associated effective matter sectors, analyzing their physical properties and energy conditions.

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Cite

BibTeXRIS
BibTeX
@article{anand2026effective,
  title = {{Effective matter sectors from modified entropies}},
  author = {Ankit Anand and Sahil Devdutt and Kimet Jusufi and Emmanuel N. Saridakis},
  journal = {The European Physical Journal C},
  year = {2026},
  month = may,
  doi = {10.1140/epjc/s10052-026-15768-z},
  url = {https://doi.org/10.1140/epjc/s10052-026-15768-z},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Effective matter sectors from modified entropies
AU  - Ankit Anand
AU  - Sahil Devdutt
AU  - Kimet Jusufi
AU  - Emmanuel N. Saridakis
PY  - 2026
DA  - 2026/05/17
JO  - The European Physical Journal C
DO  - 10.1140/epjc/s10052-026-15768-z
UR  - https://doi.org/10.1140/epjc/s10052-026-15768-z
AB  - We present a general formalism linking modified entropy functions directly to a modified spacetime metric and, subsequently, to an effective matter sector of entropic origin. In particular, within the framework of general relativity, starting from the first law of black-hole thermodynamics we establish an explicit correspondence between the entropy derivative and the metric function, which naturally leads to an emergent stress-energy tensor representing an anisotropic effective fluid. This backreaction effect of horizon entropy may resolve possible inconsistencies recently identified in black hole physics with modified entropies. As specific examples, we apply this procedure to a wide class of modified entropies, such as Barrow, Tsallis–Cirto, Rényi, Kaniadakis, logarithmic, power-law, loop-quantum-gravity, and exponential modifications, and we derive the associated effective matter sectors, analyzing their physical properties and energy conditions.
SN  - 1434-6044
SN  - 1434-6052
ER  -