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arXiv 1707.07445gr-qc
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非对易几何启发的旋转黑弦

Noncommutative geometry inspired rotating black string

Dharm Veer Singh, Md Sabir Ali, Sushant G. Ghosh

摘要:

非对易性是一个可以追溯到早期量子力学的概念,而弦论引入了非对易几何,为研究短距离时空动力学提供了一个有效的框架。此外,弦论,一个相容的引力量子理论的候选者,承认包括黑弦在内的各种经典黑洞解。在本文中,我们研究了一个NC几何的启发旋转黑弦圆柱时空与高斯分布的质量源。由此产生的度量是一个规则的,即曲率奇点自由,旋转黑弦,在大$r$限制内插Lemos \cite{lemos96}黑弦。研究了黑弦的热力学性质,得到了温度、熵和热容的精确表达式。由于解中的NC修正,热力学量也被修正,NC几何启发的黑弦总是热力学稳定的。

英文摘要:

Noncommutativity is an idea dating back to the early times of Quantum Mechanics and that string theory induced noncommutative (NC) geometry which provides an effective framework to study short distance spacetime dynamics. Also, string theory, a candidate for a consistent quantum theory of gravity, admits a variety of classical black hole solutions including black strings. In this paper, we study a NC geometry inspired rotating black string to cylindrical spacetime with a source given by a Gaussian distribution of mass. The resulting metric is a regular, i.e. curvature-singularity free, rotating black string, that in large $r$ limit interpolates Lemos \cite{lemos96} black string. Thermodynamical properties of the black strings are also investigated and exact expressions for the temperature, the entropy and the heat capacity are obtained. Owing to the NC correction in the solution, the thermodynamic quantities have been also modified and that the NC geometry inspired black string is always thermodynamically stable.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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