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arXiv 2401.07573hep-th
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Rastall引力与完美流体物质框架下AdS黑洞的热力学特征

Thermodynamic features of AdS black holes within the Rastall gravity and perfect fluid matter framework

Hayat. Laassiri, Ahmed. Daassou, Rachid. Benbrik

AI总结:

本文在Rastall引力背景下研究完美流体对带电及旋转AdS黑洞相变的影响,通过视界半径近似公式导出临界点解析表达式,发现新条件κλ=ω/(1+ω)可重现广义相对论结果,并计算临界指数揭示完美流体强度对相变的线性影响。

摘要:

在本研究中,我们分析了在Rastall引力背景下完美流体对反德西特(AdS)黑洞相变的影响。与文献中类似研究相比,本工作的突出之处在于利用视界半径的近似公式,确定了带电AdS黑洞和Kerr-Newman AdS黑洞临界点的解析表达式。对这些新解析表达式的精确分析使我们发现了一个新的可行条件,它将Rastall参数κλ与状态方程参数ω联系起来,表示为:κλ = ω/(1+ω)。借助这一新条件,我们能够在两种情形下重现爱因斯坦广义相对论框架内计算出的所有临界点解析表达式:带电AdS黑洞和旋转AdS黑洞。这些发现表明,考虑这一新条件后,Rastall引力可以作为广义相对论的一种替代引力理论。视界半径的近似表达式还使得探索这些AdS黑洞中分数阶相变的独特性成为可能。此外,我们计算了临界指数,为理解拐点附近关键热力学量的行为提供了见解。考察完美流体如何影响相变揭示了多种临界行为,表明相变的变化取决于完美流体的强度。值得注意的是,这种变化表现为随该强度增大而线性上升的轨迹。

英文摘要:

In this study, we analyzed the impact of a perfect fluid on the phase transition of Anti-de Sitter (AdS) black holes within the Rastall gravitational background. Compared to similar studies in the literature, the findings of this work are highlighted by the determination of analytical expressions for critical points for charged and Kerr-Newman AdS black holes using approximated formulas for the horizon radius. An accurate analysis of these new analytical expressions allowed us to discover a new viable condition that relates the Rastall parameter \k{appa}λ to the equation of state parameter ω, expressed as: \k{appa}λ = ω/(1+ω). Thanks to this new condition, we were able to reproduce all the analytical expressions of critical points calculated within the framework of Einsteinâs general relativity for two cases: a charged AdS black hole and a rotating AdS black hole. These findings suggest that Rastall gravity, considering this new condition, could serve as an alternative theory of gravitation to general relativity. The approximate expression of the horizon radius also enabled the exploration of the distinctiveness of fractional-order phase transitions in these AdS black holes. Furthermore, we calculated the critical exponents, offering insights into the behavior of crucial thermodynamic quantities near the inflection point. Examining how a perfect fluid influences phase transition reveals various critical behaviors, demonstrating that the variation in the phase transition depends on the intensity of the perfect fluid. Notably, this variation is portrayed by a linearly increasing trajectory with the escalation of this intensity.

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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