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arXiv 2101.09771gr-qchep-th
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研究引力场方程中引力-物质耦合的新形式

Investigating new forms of gravity-matter couplings in the gravitational field equations

Donato Bini, Giampiero Esposito

摘要:

本文提出了一个玩具模型,在爱因斯坦方程中,右手边被修改,通过增加一个项的比例的对称化的部分收缩的Ricci张量与能量动量张量,而左手边保持等于爱因斯坦张量。考虑到普朗克长度给出的自然长度尺度的存在,量纲分析表明,这样一个项产生了对经典项的h线性修正,而不是与能量动量张量成正比。然后得到一个有效的能量-动量张量,它由三个部分组成:纯能量部分,机械应力和热部分。纯能量部分具有处理现代相对论宇宙学暗区的适当性质。这样的理论与真空中的广义相对论相吻合,并且由此产生的场方程在这里被求解为Dunn和Tupper度规,偏离内部Schwarzschild解以及Friedmann-Lemaitre-Robertson-Walker宇宙。

英文摘要:

This paper proposes a toy model where, in the Einstein equations, the right-hand side is modified by the addition of a term proportional to the symmetrized partial contraction of the Ricci tensor with the energy-momentum tensor, while the left-hand side remains equal to the Einstein tensor. Bearing in mind the existence of a natural length scale given by the Planck length, dimensional analysis shows that such a term yields a correction linear in h to the classical term, that is instead just proportional to the energy-momentum tensor. One then obtains an effective energy-momentum tensor that consists of three contributions: pure energy part, mechanical stress and thermal part. The pure energy part has the appropriate property for dealing with the dark sector of modern relativistic cosmology. Such a theory coincides with general relativity in vacuum, and the resulting field equations are here solved for a Dunn and Tupper metric, for departures from an interior Schwarzschild solution as well as for a Friedmann-Lemaitre-Robertson-Walker universe.

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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