https://doi.org/10.1140/epjc/s10052-024-13050-8
Regular Article - Theoretical Physics
Non-gaussian Saha’s ionization in Rindler spacetime and the equivalence principle
1
Departamento de Física, Universidade do Estado do Rio Grande do Norte, 59610-210, Mossoró, RN, Brazil
2
Departamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, 58429-900, Campina Grande, PB, Brazil
Received:
8
February
2024
Accepted:
25
June
2024
Published online:
6
July
2024
We investigate the non-Gaussian effects of the Saha equation in Rindler space via Tsallis statistics. By considering a system with cylindrical geometry, we deduce the non-Gaussian Saha ionization equation for a partially ionized hydrogen plasma that expands with uniform acceleration. We demonstrate conditions for the validity of the equivalence principle within the realms of both Boltzmann–Gibbs and Tsallis statistics. In the non-Gaussian framework, our findings reveal that the effective binding energy exhibits a quadratic dependence on the frame acceleration, in contrast to the linear dependence predicted by Boltzmann–Gibbs statistics. We show that an accelerated observer shall notice a more pronounced effect on the effective binding energy for 
and a more attenuated one when 
. We also ascertain that an accelerated observer will measure values of q smaller than those measured in the rest frame. Besides, assuming the equivalence principle, we examine the effects of the gravitational field on the photoionization of hydrogen atoms and pair production. We show that both photoionization and pair production are more intensely suppressed in regions with a strong gravitational field in a non-Gaussian context than in the Boltzmann–Gibbs framework. Lastly, constraints on the gravitational field and the electron and positron chemical potentials are derived.
© The Author(s) 2024
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