论文标题

能量非传播和相对论轨迹:单模型的重力及以后

Energy nonconservation and relativistic trajectories: Unimodular gravity and beyond

论文作者

Bonder, Y., Herrera, J. E., Rubiol, A. M.

论文摘要

节能具有基本物理原理的地位。但是,量子力学的测量不符合节能。因此,预计更基本的重力理论(与量子力学不矛盾的理论)应接受能量不守恒。本文首先确定理论具有不能保守的能量量张量的条件。然后,得出了失去能量的尖粒粒子的轨迹方程,这表明能量不传播会产生特定的加速度。例如,研究了重力理论。有趣的是,在球形对称性中,鉴于有广义的birkhoff定理,并且能量量张量的差异是一种封闭形式,因此可以使用知名的方法可以找到失去能量的测试粒子的轨迹。最后,使用太阳系观测值设置了能量非保守参数的限制。

Energy conservation has the status of a fundamental physical principle. However, measurements in quantum mechanics do not comply with energy conservation. Therefore, it is expected that a more fundamental theory of gravity -- one that is less incompatible with quantum mechanics -- should admit energy nonconservations. This paper begins by identifying the conditions for a theory to have an energy-momentum tensor that is not conserved. Then, the trajectory equation for pointlike particles that lose energy is derived, showing that energy nonconservation produces a particular acceleration. As an example, the unimodular theory of gravity is studied. Interestingly, in spherical symmetry, given that there is a generalized Birkhoff theorem and that the energy-momentum tensor divergence is a closed form, the trajectories of test particles that lose energy can be found using well known methods. Finally, limits on the energy nonconservation parameters are set using Solar system observations.

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