论文标题
M $Ø$ ller 58伪传感器的一般相对论潮汐加热
General relativistic tidal heating for the M$ø$ller 58 pseudotensor
论文作者
论文摘要
在他对完全相对论中子星的潮汐稳定的研究中，索恩表明，潮汐加热的完全相对论的表达与非相关主义的牛顿理论相同。此外，Thorne还指出，这种潮汐加热必须独立于人们如何定位重力能量，并明确地通过该表达给出。 Favata计算了许多经典的引力伪转化器（包括M $Ø$ ller）的潮汐加热，并获得了所有这些都产生相同（Newtonian）值的结果。在使用m $Ø$ ller伪音速器对计算进行重新检查后，我们发现确实，这种伪音速器在质量$ m $是一个恒定的条件下给出了期望的结果，而favata则将$ m $视为时间依赖，这是非法的，因为它违反了他使用的谐音仪状条件，而他使用了。此外，即使在黑洞的情况下，即使是牛顿物理学之外，我们也会继续考虑这种M $Ø$。
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.
