Thermodynamic-induced geometry of self-gravitating systems

<p>A new approach based on the nonequilibrium statistical operator is presented that makes it possible to take into account the inhomogeneous particle distribution and provides obtaining all thermodynamic relations of self-gravitating systems. The equations corresponding to the extremum of the...

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Main Authors: BI Lev (Author), AG Zagorodny (Author)
Format: Book
Published: Annals of Mathematics and Physics - Peertechz Publications, 2022-09-16.
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100 1 0 |a BI Lev  |e author 
700 1 0 |a AG Zagorodny  |e author 
245 0 0 |a Thermodynamic-induced geometry of self-gravitating systems 
260 |b Annals of Mathematics and Physics - Peertechz Publications,   |c 2022-09-16. 
520 |a <p>A new approach based on the nonequilibrium statistical operator is presented that makes it possible to take into account the inhomogeneous particle distribution and provides obtaining all thermodynamic relations of self-gravitating systems. The equations corresponding to the extremum of the partition function completely reproduce the well-known equations of the general theory of relativity. Guided by the principle of Mach's "economing of thinking" quantitatively and qualitatively, is shown that the classical statistical description and the associated thermodynamic relations reproduce Einstein's gravitational equation. The article answers the question of how is it possible to substantiate the general relativistic equations in terms of the statistical methods for the description of the behavior of the system in the classical case.</p> 
540 |a Copyright © BI Lev et al. 
546 |a en 
655 7 |a Research Article  |2 local 
856 4 1 |u https://doi.org/10.17352/amp.000052  |z Connect to this object online.