M $ø$ ller 58赝张量的广义相对论潮汐加热
General relativistic tidal heating for the M$ø$ller 58 pseudotensor
摘要：
在他的研究潮汐稳定的完全相对论性中子星索恩表明，完全相对论性表达式潮汐加热是相同的非相对论性牛顿理论。此外，索恩还指出，这种潮汐加热必须独立于人们如何定位引力能，并且明确地由该表达式给出。Favata计算了包括M $ø$ ller在内的一些经典引力赝张量的潮汐加热，得到了它们都产生相同的（牛顿）值的结果。经过重新审查的计算使用的M $ø$ ller赝张量，我们发现，这确实赝张量给出了预期的结果的条件下，质量$M$是一个常数，而Favata认为$M$是时间依赖的，这是非法的，因为它违反了调和规范条件，他使用。此外，我们继续考虑这个M $ø$ ller伪张量，即使在黑洞的情况下，即，超越了牛顿物理学
英文摘要：
In his study of tidal stabilization of fully relativistic neutron stars Thorne showed that the fully relativistic expression for tidal heating is the same as in non-relativistic Newtonian theory. Furthermore, Thorne also noted that this tidal heating must be independent of how one localizes gravitational energy and is unambiguously given by that expression. Favata calculated the tidal heating for a number of classical gravitational pseudotensors including that of M$ø$ller, and obtained the result that all of them produced the same (Newtonian) value. After a re-examination of the calculation using the M$ø$ller pseudotensor we find that indeed this pseudotensor gives the desired result under the condition that the mass $M$ is a constant, while Favata considered $M$ as being time dependent, which is illegitimate since it violates the harmonic gauge condition, which he used. Moreover, we carry on to consider this M$ø$ller pseudtensor even in a black hole situation, i.e., beyond Newtonian physics.
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