红外修正的Horava引力理论研究
发布时间：2018-12-21 13:30
【摘要】：最近,Horava利用Lifshitz标度提出了一个紫外区具有完善性质的引力理论。为了满足重整化,该理论在紫外区放弃Lorentz对称性并引入高阶度规导数从而得到非相对论的幂次计数重整化引力理论。该理论被称为Horava引力理论或简写成HL引力。此后,为了在低能量区得到闵氏真空,Kehagias和Sfetsos (KS)引入与三维几何中里契标量相关的项得到了静态球对称的渐近平坦黑洞解,该解也被称为红外修正Horava引力中的黑洞,本文简称KS黑洞。 本论文以KS黑洞为研究对象,详细研究其霍金辐射、似正规模、光线偏折和量子统计熵等内容。 在第一章中,论文主要论述了与黑洞和Horava引力等相关的背景知识。 在第二章中,论文首先用测地线方法得到了黑洞视界面处的霍金辐射谱,结果发现真实的辐射谱偏离纯热谱且与辐射粒子的质量无关。其次借助复路径分方法得到视界面处费米子的隧穿率,并找到隧穿率与视界温度之间的关系。 在第三章中,论文分别利用三阶和六阶WKB数值方法,得到了费米场扰动的低模频率。结果发现：当引力参数α和角动量数k固定时,模数n越大,费米场振动越慢,衰减越快；当固定k和n时,α越大,费米场振动越慢,衰减越快。因此,与普通的Schwarzschild黑洞相比,KS黑洞中的费米场将衰减得更慢。 在第四章中,论文利用作用量分析法得到了黑洞时空中光线偏折角的解析表达式,并结合天文观测(long-baseline radio interferometry、Jupiter measurement、 Hipparcos satellite)给出了太阳、木星、地球等系统对参数α的限制。 在第五章中,论文利用广义测不准原理(Generalized Uncertainty Principle,GUP)与’t Hooft的砖墙方法(Brick Wall Method, BWM)两种方法分别研究了黑洞的量子统计熵。研究发现如果适当调节能层厚度或者适当地选取截断因子,黑洞熵可以回到Bekenstein面积熵的形式。 以上研究结果提供了寻找KS黑洞的依据,为将来更详细地研究该黑洞提供丰富的参考资料,也促使我们更充分地理解Horava引力理论。
[Abstract]:Recently, Horava proposed a theory of gravity with perfect properties in ultraviolet region by using Lifshitz scale. In order to satisfy renormalization, the theory gives up Lorentz symmetry in ultraviolet region and introduces higher order metric derivative to obtain the nonrelativistic power counting renormalization gravity theory. This theory is known as the Horava Gravity Theory, or HL Gravity. Subsequently, in order to obtain Mins vacuum in the low energy region, Kehagias and Sfetsos (KS) introduce the terms related to the Ricci scalar in 3D geometry to obtain the asymptotically flat black hole solution of static spherical symmetry, which is also called the black hole in the infrared modified Horava gravity. This paper is referred to as KS black hole. In this paper, the Hawking radiation, positive scale, light deflection and quantum statistical entropy of KS black hole are studied in detail. In the first chapter, the background knowledge related to black hole and Horava gravity is discussed. In the second chapter, the Hawking spectrum at the black hole's apparent interface is obtained by geodesic method. It is found that the true spectrum deviates from the pure thermal spectrum and is independent of the mass of the radioactive particles. Secondly, the tunneling rate of fermion at the apparent interface is obtained by using the method of complex path separation, and the relationship between tunneling rate and horizon temperature is found. In the third chapter, the low mode frequency of Fermi field perturbation is obtained by using the third-order and sixth-order WKB numerical methods, respectively. The results show that when the gravitational parameter 伪 and the angular momentum number k are fixed, the larger the modulus n is, the slower the Fermi field vibration is and the faster the attenuation is, while the larger 伪 is fixed at k and n, the slower the Fermi field vibration is and the faster the attenuation is. Therefore, the Fermi field in the KS black hole will decay more slowly than the ordinary Schwarzschild black hole. In chapter 4, the analytical expression of light deflection angle in black hole space-time is obtained by using the action quantity analysis method, and the sun, Jupiter and Jupiter are given with astronomical observations (long-baseline radio interferometry,Jupiter measurement, Hipparcos satellite). The limit of the parameter 伪 of the Earth and other systems. In chapter 5, the quantum statistical entropy of black hole is studied by using the generalized uncertainty principle (Generalized Uncertainty Principle,GUP) and the brick wall method (Brick Wall Method, BWM) of't Hooft. It is found that if the energy layer thickness is adjusted properly or the truncation factor is properly selected, the black hole entropy can return to the form of Bekenstein area entropy. The above results provide the basis for finding KS black hole, provide abundant reference materials for further detailed study of the black hole, and promote us to fully understand Horava's theory of gravity.
【学位授予单位】：信阳师范学院
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：P145.8
本文编号：2388973
[Abstract]:Recently, Horava proposed a theory of gravity with perfect properties in ultraviolet region by using Lifshitz scale. In order to satisfy renormalization, the theory gives up Lorentz symmetry in ultraviolet region and introduces higher order metric derivative to obtain the nonrelativistic power counting renormalization gravity theory. This theory is known as the Horava Gravity Theory, or HL Gravity. Subsequently, in order to obtain Mins vacuum in the low energy region, Kehagias and Sfetsos (KS) introduce the terms related to the Ricci scalar in 3D geometry to obtain the asymptotically flat black hole solution of static spherical symmetry, which is also called the black hole in the infrared modified Horava gravity. This paper is referred to as KS black hole. In this paper, the Hawking radiation, positive scale, light deflection and quantum statistical entropy of KS black hole are studied in detail. In the first chapter, the background knowledge related to black hole and Horava gravity is discussed. In the second chapter, the Hawking spectrum at the black hole's apparent interface is obtained by geodesic method. It is found that the true spectrum deviates from the pure thermal spectrum and is independent of the mass of the radioactive particles. Secondly, the tunneling rate of fermion at the apparent interface is obtained by using the method of complex path separation, and the relationship between tunneling rate and horizon temperature is found. In the third chapter, the low mode frequency of Fermi field perturbation is obtained by using the third-order and sixth-order WKB numerical methods, respectively. The results show that when the gravitational parameter 伪 and the angular momentum number k are fixed, the larger the modulus n is, the slower the Fermi field vibration is and the faster the attenuation is, while the larger 伪 is fixed at k and n, the slower the Fermi field vibration is and the faster the attenuation is. Therefore, the Fermi field in the KS black hole will decay more slowly than the ordinary Schwarzschild black hole. In chapter 4, the analytical expression of light deflection angle in black hole space-time is obtained by using the action quantity analysis method, and the sun, Jupiter and Jupiter are given with astronomical observations (long-baseline radio interferometry,Jupiter measurement, Hipparcos satellite). The limit of the parameter 伪 of the Earth and other systems. In chapter 5, the quantum statistical entropy of black hole is studied by using the generalized uncertainty principle (Generalized Uncertainty Principle,GUP) and the brick wall method (Brick Wall Method, BWM) of't Hooft. It is found that if the energy layer thickness is adjusted properly or the truncation factor is properly selected, the black hole entropy can return to the form of Bekenstein area entropy. The above results provide the basis for finding KS black hole, provide abundant reference materials for further detailed study of the black hole, and promote us to fully understand Horava's theory of gravity.
【学位授予单位】：信阳师范学院
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：P145.8
【参考文献】
相关博士学位论文 前3条
1 陈松柏;黑洞时空中的似正规模和幂率拖尾[D];湖南师范大学;2006年
2 刘墨林;基于空间—时间—物质理论和膜世界模型的黑洞研究[D];大连理工大学;2009年
3 蒋青权;量子隧穿、反常与黑洞霍金辐射[D];华中师范大学;2009年
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