Black Hole Torsion Effect and Its Relation to Information
DOI:
https://doi.org/10.15407/ujpe64.8.683Keywords:
gravitation, quantization, torsion, spin, black holesAbstract
In order to study the effects of the torsion on the gravitation in space-time and its relation to information, we use the Schwarzschild metric, where the torsion is naturally introduced through the spin particle density. In the black hole scenario, we derive an analytic solution for the black hole gravitational radius with the spin included. Then we calculate its entropy in the cases of parallel and antiparallel spins. Moreover, four analytical solutions for the spin density as a function of the number of information are found. Using these solutions in the case of parallel spin, we obtain expressions for the Ricci scalar as a function of the information number N, and the cosmological constant lambda is also revealed.
References
K. Akiyama et al . First M 87 event horizon telescope results. I. The shadow of the supermassive black hole. Astrophys. J. Lett. 875, L1 (2019).
J.D. Bekenstein . Black holes and entropy. Phys. Rev. D 7, 2333 (1973). https://doi.org/10.1103/PhysRevD.7.2333
V. De Sabbata, D. Wang, C. Sivaram. Torsion effects in black hole evaporation. Ann. Phys. 47, 508 (1990). https://doi.org/10.1002/andp.19905020611
Black Hole Physics. Edited by V. De Sabbata, Z. Zhang (Kluwer Academic, 1992).
The Early Universe, edited by V.B. Johri (Hadronic Press, 1996).
I. Haranas, I. Gkigkitzis. The number of information bits related to the minimum quantum and gravitational masses in a vacuum dominated universe. Astrophys. Space-Sci. 346, No. 1, 213 (2013). https://doi.org/10.1007/s10509-013-1434-1
I. Haranas, I. Gkigkitzis. Bekenstein bound of information number N and its relation to cosmological parameters in a universe with and without cosmological constant. Modern Phys. Lett. A 28, No.19, Article ID1350077 (2013). https://doi.org/10.1142/S0217732313500776
S. Lloyd. Ultimate physical limits to computation. Nature 406, 1047 31 (2000). https://doi.org/10.1038/35023282
M. Sharif, H. Kausar, R. Dust Static Spherically Symmetric Solution in f(R) Gravity,, arXiv:1102.4124v1 [physics.gen-ph] (2011). https://doi.org/10.1143/JPSJ.80.044004
Downloads
Published
How to Cite
Issue
Section
License
Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.