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arXiv 1209.6328gr-qc
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标量张量理论中的均匀宇宙学

Homogeneous cosmologies in scalar tensor theory

Melis Ulu Dogru, Derya Baykal

摘要:

本文研究了在基于Lyra几何的标量引力理论中,包含有微扰畴壁、微扰Chaobole-Chaobolgin气体和微扰奇异夸克物质等物质群的FRW宇宙学。为了求解标量场理论中的场方程,我们对每种物质群分别展开了静态和含时两种精确模型。对于每个物质组,解被引入作为膨胀宇宙的模型,指数。得到了这些模型在k=0,-1,1情况下的哈勃参数。此外,我们还发现了一个有趣的结果,即基于天琴座几何的标量理论与爱因斯坦理论之间的关系是一个不完全的概念。与文献中普遍接受的观点相反,我们认为没有宇宙学常数的爱因斯坦理论完全等价于基于零位移矢量的天琴座几何的标量理论。如果标量理论中位移矢量的分量是任意的常值函数,标量理论就不能与爱因斯坦理论完全对应。即使标量理论中位移矢量的分量为常数,其场方程及其解也包含爱因斯坦的场方程及其解,但它们比爱因斯坦引力理论更具有普遍性。因此,常数位移矢量的系数不起宇宙学常数的作用,这与爱因斯坦理论是一致的。最后对结果进行了讨论。

英文摘要:

In this study, FRW-cosmologies with some matter groups such as monopole-domain wall, monopole-Chaplygin gas and monopole-strange quark matter in the scalar theory of gravitation based on Lyra geometry are investigated. We expand two exact models as static case and time-depended case for each matter groups in order to solve field equations in the scalar theory. For each matter groups, the solutions are introduced as the models of expanding universe, exponentially. Hubble parameters in the case of k=0,-1,1 are obtained for these models. Furthermore, we realize interesting result which the well-known relation between scalar theory based on Lyra geometry and Einstein's theory is an incomplete idea. In opposition to the well accepted idea in the literature, we suggest that Einstein's theory with no cosmological constant is equivalent of scalar theory based on Lyra geometry with zero displacement vector, completely. If the components of displacement vector in the scalar theory are any constant functions, the scalar theory couldn't correspond to Einstein's theory, identically. Even if the components of displacement vector in the scalar theory are the constant, the field equations and their solutions contain the Einstein's field equations and their solutions, but they are variously more general than Einstein's theory of gravitation. So, coefficients of constant displacement vector don't play the role of cosmological constant in keeping with the Einstein's theory. Finally, the results have been discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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