Born-Infeld-AdS黑洞的热力学与相变的研究

发布时间:2024-01-23 13:03
  黑洞作为宇宙中被证实存在的最极端天体,对于黑洞的研究一直是引力理论研究的重点,特别是其热力学性质。近年来,随着对引力波及黑洞阴影的成功直接观测,对于将黑洞热力学与黑洞相变和黑洞的可观测引力效应联系起来成为了新的热门研究方向。光子轨道与带电AdS黑洞相变之间的关系已被研究,本文主要将研究扩展到了Born-Infeld-AdS黑洞,探究不同维度下,Born-Infeld-AdS黑洞存在的有趣相变类型—重入相变—是否可以通过光子轨道来揭示,从而可以给更多丰富类型的相变与光子轨道关系的研究以及黑洞视界望远镜的观测提供方向。我们首先根据前人的研究讨论了Born-Infeld-AdS黑洞的度规并且计算出了黑洞的基本热力学参量和状态方程。随后根据不同的Born-Infeld参数b导致的热力学临界点个数的差异,我们可以将黑洞分为四种类型,类型I不存在相变,类型II和III存在一个重入相变,但是类型III的两个临界点之一具有负压强,类型IV只存在类范德瓦尔斯相变。对于这些不同的情形,我们画出相应的压强-温度和温度-比体积的相图。然后,我们通过光子径向运动的有效势来计算半径rps和最...

【文章页数】:52 页

【学位级别】:硕士

图2.1:BI-AdS黑洞的等温曲线和等压曲线,图中b=0.3<b0。(a)等温曲线的温度从下到上为T=0.02,0.03,0.04,0.043和0.06。(b)等压曲线的压强从下到上为P=0.001,0.002,0.003,0.004,0.005和0.006。虚线是不同等温或等压曲线中的极值点。

图2.1:BI-AdS黑洞的等温曲线和等压曲线,图中b=0.3

图2.2:BI-AdS黑洞的等温曲线和等压曲线,图中b=0.4∈(b0,b1)。(a)等温曲线的温度从下到上为T=0.02,0.03,0.040492(Tc0),0.043,0.045890(Tc1)和0.06。(b)等压曲线的压强从下到上为P=0.001,0.002016(Pc0),0.003,0.003807(Pc1),0.0045和0.006。和图2.1不同,对于某些压强和温度,等温曲线和等压曲...

图2.2:BI-AdS黑洞的等温曲线和等压曲线,图中b=0.4∈(b0,b1)。(a)等温曲线的温度从下到上为T=0.02,0.03,0.040492(Tc0),0.043,0.045890(Tc1)和0.06。(b)等压曲线的压强从下到上为P=0.001,0.002016(Pc0),0.003,0.003807(Pc1),0.0045和0.006。和图2.1不同,对于某些压强和温度,等温曲线和等压曲...


图2.3:BI-AdS黑洞的等温曲线和等压曲线,图中b=0.45∈(b1,b2)。(a)等温曲线的温度从下到上为T=0.01,0.026885(Tc0),0.03,0.045170(Tc1),0.05和0.06。(b)等压曲线的压强从下到上为P=-0.003253(Pc0),0.001,0.002,0.003,0.003664(Pc1)和0.006。图中有两个临界点,第二个临界点的温度为正值,但是压强为负值...

图2.3:BI-AdS黑洞的等温曲线和等压曲线,图中b=0.45∈(b1,b2)。(a)等温曲线的温度从下到上为T=0.01,0.026885(Tc0),0.03,0.045170(Tc1),0.05和0.06。(b)等压曲线的压强从下到上为P=-0.003253(Pc0),0.001,0.002,0.003,0.003664(Pc1)和0.006。图中有两个临界点,第二个临界点的温度为正值,但是压强为负值...


图2.4:IV:BI-AdS黑洞的等温曲线和等压曲线,图中b=1>b2。(a)等温曲线的温度从下到上为P=0.01,0.02,0.03,0.043620(Tc1),0.05和0.06。(b)等压曲线的压强从下到上为T=0.001,0.002,0.003372(Pc1),0.004和0.006。在这种类型下,只存在一个临界点,并且只存在范德瓦尔斯类型的相变。

图2.4:IV:BI-AdS黑洞的等温曲线和等压曲线,图中b=1>b2。(a)等温曲线的温度从下到上为P=0.01,0.02,0.03,0.043620(Tc1),0.05和0.06。(b)等压曲线的压强从下到上为T=0.001,0.002,0.003372(Pc1),0.004和0.006。在这种类型下,只存在一个临界点,并且只存在范德瓦尔斯类型的相变。



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