arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1107.4455gr-qcastro-ph.CO
收藏

f(T)引力中相对论星的存在性

Existence of relativistic stars in f(T) gravity

Christian G. Boehmer, Atifah Mussa, Nicola Tamanini

摘要:

我们研究了在f(T)修正引力下相对论性恒星的存在性,并明确地构造了几类静态理想流体解。我们从完整的f(T)重力场方程出发,导出了守恒方程,并指出了它与远平行方程的不同之处。首先,我们选取对角规范场中的四量子场,研究了由此得到的场方程。一些精确的解决方案,明确地构造,它是指出,这些解决方案必须给一个常数的扭转标量。接下来,我们选择一个非对角的四元组场,其结果类似于广义相对论的场方程。对于特定的模型,我们能够构造这些场方程的精确解。在这些新的解决方案,我们发现负压解决方案,和一个有趣的一类多项式解决方案。

英文摘要:

We examine the existence of relativistic stars in f(T) modified gravity and explicitly construct several classes of static perfect fluid solutions. We derive the conservation equation from the complete f(T) gravity field equations and present the differences with its teleparallel counterpart. Firstly, we choose the tetrad field in the diagonal gauge and study the resulting field equations. Some exact solutions are explicitly constructed and it is noted that these solutions have to give a constant torsion scalar. Next, we choose a non diagonal tetrad field which results in field equations similar to those of general relativity. For specific models we are able to construct exact solutions of these field equations. Among those new classes of solutions, we find negative pressure solutions, and an interesting class of polynomial solutions.

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。

↑