Volume 141, Number 2, January 2023
|Number of page(s)||6|
|Section||Gravitation, cosmology and astrophysics|
|Published online||18 January 2023|
Energetics of a self-gravitating quantum system of charged particles
Department of Physics, Siksha ‘O’ Anusandhan Deemed to be University - Bhubaneswar-751030, India
(a) E-mail: firstname.lastname@example.org (corresponding author)
Received: 30 September 2022
Accepted: 4 January 2023
Extending our model of Newtonian Quantum Gravity (NQG) in a self-gravitating system (Lotte B. K. and Mishra S., Mod. Phys. Lett. A, 35 (2020) 2050081), we study here the energetics of a charged self-gravitating quantum many-particle system. The model is based on the use of the uncertainty principle and the incorporation of necessary relativistic corrections. From the resulting ground state energy we have derived the effective radius of the system of charged particles, after it gets collapsed under its own gravity. Additional results like the Hawking temperature and the Buchdahl-Andréasson (BA) limit for this system are also explored. We further show a possible link of this collapsed system of self-gravitating charge particles, with the notion of a charged black hole.
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