Nonextensive kinetic theory and H-theorem in general relativity

Author(s)

Santos, A. P. ^{[1, 2]} ; Silva, R. ^{[1, 3]} ; Alcaniz, J. S. ^[4] ; Lima, J. A. S. ^[5]

Affiliation

^[1] Univ Fed Rio Grande do Norte, Dept Fis, BR-59072970 Natal, RN - Brazil

^[2] Univ Fed Amazonas, Inst Ciencias Exatas & Tecnol, Itacoatiara, AM - Brazil

^[3] Univ Estado Rio Grande do Norte, Dept Fis, BR-59610210 Mossoro - Brazil

^[4] Observ Nacl, Dept Astron, BR-20921400 Rio De Janeiro, RJ - Brazil

^[5] Univ Sao Paulo, Dept Astron, IAG USP, BR-05508090 Sao Paulo, SP - Brazil

• Document type: Journal article
• Source: ANNALS OF PHYSICS; v. 386, p. 158-164, NOV 2017.
• Web of Science Citations: 4

Abstract

The nonextensive kinetic theory for degenerate quantum gases is discussed in the general relativistic framework. By incorporating nonadditive modifications in the collisional term of the relativistic Boltzmann equation and entropy current, it is shown that Tsallis entropic framework satisfies a H-theorem in the presence of gravitational fields. Consistency with the 2nd law of thermodynamics is obtained only whether the entropic q-parameter lies in the interval q is an element of {[}0, 2]. As occurs in the absence of gravitational fields, it is also proved that the local collisional equilibrium is described by the extended Bose-Einstein (Fermi-Dirac) q-distributions. (C) 2017 Elsevier Inc. All rights reserved. (AU)

• FAPESP's process: 04/13668-0 - Cosmology in the era of precision: dark energy, dark matter and background cosmic radiation
• Grantee: Jose Ademir Sales de Lima
• Support Opportunities: Research Projects - Thematic Grants