标题: | 尺度对称有质量重力场和第一型比昂其时空 Weyl-invariant massive gravity and the Bianchi type I space |
作者: | 林英程 高文芳 Lin, Ing-Chen Kao, Win-Fun 物理研究所 |
关键字: | 外勒对称;尺度对称;有质量重力场;比昂其时空;广义相对论;宇宙学;Weyl invariance;Scale invariance;massive gravity;Bianchi spaces;General Relativity;Cosmology |
公开日期: | 2017 |
摘要: | 我们建立了一个兼具尺度对称和有质量重力的模型、研究它的场方程式并且找到了几个存在于第一型比昂其时空中可解析的解。在这个模型中,有质量重力场提供了一个等效的宇宙常数,而尺度对称性提供了冷暗物质。在我们把Weyl规范向量的四次位能项加到拉格朗日密度之中以后,虽然尺度对称的物质在今天看起来是冷的,它的初始状态却会是极端地热,即它表现的像是冷和热物质的混合。除此之外,多加一个自由的纯量场来控制运动方程式中的非均向参数也使得我们的解能够兼容均向背景。 We construct a model with Weyl-invariance and massive gravity, study its eld equations, and nd some analytic solutions in the Bianchi type I space. In this model, massive gravity provides an eective cosmological constant, while Weyl-invariance provides a cold dark matter. After we add a quartic potential of the Weyl gauge vector into the Lagrangian density, the Weyl-invariant matter will be extreme hot initially although cold today, which acts like a mixture of cold matter and hot matter. Furthermore, a free in aton is added to control an anisotropy in equations of motion so that our solution can contain an isotropic background. |
URI: | http://etd.lib.nctu.edu.tw/cdrfb3/record/nctu/#GT079827802 http://hdl.handle.net/11536/140274 |
显示于类别: | Thesis |