有质量引力理论中的若干问题研究

发布时间：2018-06-11 23:48

本文选题：有质量引力 + dRGT模型　；参考：《上海师范大学》2016年博士论文

【摘要】：本文分成两大部分,由第二章到第四章组成的第一部分分别对Lorentz破缺有质量引力理论和Lorentz不变有质量引力理论作了一个简明的评述,由第五章到第九章组成的第二部分介绍了笔者在有质量引力理论中所取得的研究进展。在Lorentz破缺有质量引力理论中,本文推广了寻找静态球对称解的一般方法。通过泛函方程和交换环将黑洞解分成了三类：Schwarzchild-(A)ds解,有毛黑洞解和一类全新的黑洞解。讨论了有毛黑洞的稳定性和新黑洞的物理性质。在Lorentz不变有质量引力中,本文找到了两个不同分支的静态球对称解：第一个分支为经典解(Schwarzchild度规或RN度规),第二个分支为相应的有毛黑洞解。讨论了在dRGT模型中的黑洞无毛定理。可以发现,这些黑洞解都是在非幺正规范下得到的。进一步的Birkhoff定理可以证明,在dRGT模型中幺正规范下的黑洞解只能写成稳态度规的形式。只有在特殊的规范下,一般的黑洞解才能写成静态形式,我们称该规范为Birkhoff规范。在一类特殊参数的选取下,Birkhoff规范将放开对Stiickelberg场空间部分的约束,dRGT模型将具有更多的自由度。本文称这样的模型为dRGT最小模型。最小模型不再具有有毛黑洞解分支,且能够得到一个动力学的宇宙学解。该宇宙学解不仅能够解释晚期的宇宙加速膨胀,也暗示了早期的宇宙暴胀行为。最后,本文计算了在dRGT模型中的Minser-Sharp质量。
[Abstract]:This paper is divided into two parts. In the first part, the Lorentz broken mass gravity theory and Lorentz invariant mass gravity theory are briefly reviewed. The second part, which consists of chapter 5 to chapter 9, introduces the research progress in the theory of mass gravitation. In Lorentz's theory of mass gravity, we generalize the general method of finding the static spherical symmetric solution. Through functional equations and commutative rings, the black hole solutions are divided into three categories: one is the Schwarzchild-Aconds solution, the other is the hairy black hole solution and a new kind of black hole solution. The stability of hairy black holes and the physical properties of new black holes are discussed. In Lorentz invariant mass gravity, we find the static spherically symmetric solutions of two different branches: the first branch is the classical solution Schwarzchild metric or RN metric, and the second branch is the corresponding solution of the hairy black hole. The black hole hairless theorem in dRGT model is discussed. It can be found that these black hole solutions are obtained under the nonunitary gauge. Further Birkhoff theorem can prove that the solution of black hole under unitary gauge in dRGT model can only be written in the form of stable attitude gauge. A general black hole solution can be written in a static form only under a special specification, which we call the Birkhoff specification. Under the selection of a class of special parameters, the Birkhoff gauge will liberalize the constrained dRGT model in the Stiickelberg field space part and will have more degrees of freedom. In this paper, we call this model dRGT minimum model. The minimal model no longer has a branch of the solution of a hairy black hole, and a dynamical cosmological solution can be obtained. This cosmological solution can not only explain the accelerating expansion of the late universe, but also imply the early cosmic inflation behavior. Finally, the Minser-Sharp quality in dRGT model is calculated.
【学位授予单位】：上海师范大学
【学位级别】：博士
【学位授予年份】：2016
【分类号】：O314

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