【摘要】：宇宙學(xué)原理提出,在宇宙尺度上宇宙是均勻且各向同性的。暗物質(zhì)和暗能量占據(jù)宇宙總能量的絕大部分,黑洞作為暗物質(zhì)的一種理論模型備受關(guān)注。超弦理論/M理論的研究中Lovelock引力作用量產(chǎn)生對諸多問題的修正,由此,高維時(shí)空引力理論引起物理學(xué)家的深入研究。 本文中,我們討論高維時(shí)空的Lovelock引力：三階Lovelock作用量耦合非線性的Born-Infeld電磁場的情形,得出相應(yīng)的黑洞解并計(jì)算其熱力學(xué)性質(zhì),討論不同時(shí)空結(jié)構(gòu)下的7維漸近AdS時(shí)空中黑洞的穩(wěn)定性；利用相關(guān)輻射,計(jì)算黑洞Hawking輻射的相關(guān)性,討論信息丟失問題。 首先,利用度規(guī)代入作用量變分的方法求得引力場方程和電磁場方程,給出Lovelock-Born-Infeld黑洞的靜態(tài)球?qū)ΨQ解。其次,在Lovelock引力中二階、三階系數(shù)滿足3α3=α22=a2的情況下計(jì)算得出黑洞的熱力學(xué)性質(zhì)；在k=0,1,-1的不同時(shí)空結(jié)構(gòu)下的7維AdS時(shí)空中,極端黑洞存在于k=0,1的AdS時(shí)空中；黑洞的穩(wěn)定性討論得出,參數(shù)α,β,ι均對黑洞的熱容產(chǎn)生一定的影響,但并不影響函數(shù)的變化趨勢,在k=0時(shí),黑洞始終是局域穩(wěn)定的,在k≠0時(shí)當(dāng)黑洞的質(zhì)量大于某一值時(shí),黑洞的熱容恒為正值,黑洞有可能穩(wěn)定存在,且在k=-1時(shí),有可能存在極小質(zhì)量的穩(wěn)定黑洞。最后,我們給出熵的量子修正形式,利用半經(jīng)典的輻射幾率公式,計(jì)算得到依次輻射的兩個(gè)粒子的相關(guān)度并不為零,黑洞的Hawking輻射是相關(guān)的；一個(gè)完整過程的黑洞熵計(jì)算得出,相關(guān)輻射的Lovelock-Born-Infeld黑洞輻射中不存在信息丟失問題。
[Abstract]:Cosmological principles suggest that the universe is homogeneous and isotropic on the cosmic scale. Dark matter and dark energy account for most of the total energy of the universe. Black hole as a theoretical model of dark matter has attracted much attention. In the study of superstring theory / M theory, the Lovelock gravitational action brings about the correction to many problems. Therefore, the theory of high dimensional spatiotemporal gravitation has led to the further study of physicists. In this paper, we discuss the Lovelock gravitation of high-dimensional spacetime: the third-order Lovelock action coupled with nonlinear Born-Infeld electromagnetic field, and obtain the corresponding solution of black hole and calculate its thermodynamic properties. The stability of black holes in 7-dimensional asymptotic AdS spacetime with different space-time structures is discussed. The correlation of black hole Hawking radiation is calculated by using correlation radiation, and the problem of information loss is discussed. Firstly, the gravitational field equation and the electromagnetic field equation are obtained by using the metrometric method of action variation, and the static spherically symmetric solution of the Lovelock-Born-Infeld black hole is given. Secondly, the thermodynamic properties of black holes are calculated when the second order and third order coefficients satisfy 3 偽 3 = 偽 22=a2 in Lovelock gravitation, and in the 7-dimensional AdS spacetime with different space-time structures of k ~ 0, 1, the extreme black hole exists in the AdS time-space of k ~ (?) 0, ~ (1), and the black hole exists in the AdS-time space-time of k ~ (?) 0, ~ (1). The stability of the black hole shows that the parameters 偽, 尾 and 1 all have a certain effect on the heat capacity of the black hole, but it does not affect the trend of the change of the function. The black hole is always locally stable at k ~ 0. When k 鈮，

本文編號(hào)：2443383