Papapetrou、Weinberg和Goldberg赝张量的广义相对论潮汐功
General relativistic tidal work for Papapetrou, Weinberg and Goldberg pseudotensors
摘要：
在1998年，索恩声称所有的赝张量都能给出与牛顿理论相同的潮汐功。1999年，Purdue利用Landau-Lifshitz赝张量计算了潮汐加热，其结果与牛顿引力场一致。2001年，Favata用同样的方法检验了爱因斯坦、Bergmann-Thomson和Møller的赝张量，他们都给出了与普渡大学相同的结果。受Purdue和Favata工作的启发，为了完整性，在这里我们操纵Papapetrou，Weinberg和Goldberg伪张量的潮汐工作。我们得到了与普渡大学相同的潮汐功。此外，我们强调了一个合适的引力能动量赝张量需要满足内物质条件，并且除了M $ø$ ller外，所有的经典赝张量都通过了这个检验.此外，我们构造了一个广义赝张量，它是由13个线性人工高阶项与Einstein赝张量组合而成的。我们发现这个结果与Thorne的预言一致，即，相对论潮汐功是伪张量独立的。
英文摘要：
In 1998 Thorne claimed that all pseudotensors give the same tidal work as the Newtonian theory. In 1999, Purdue used the Landau-Lifshitz pseudotensor to calculate the tidal heating and the result matched with the Newtonian gravity. Soon after in 2001, Favata employed the same method to examine the Einstein, Bergmann-Thomson and Møller pseudotensors, all of them give the same result as Purdue did. Inspired by the work of Purdue and Favata, for the completeness, here we manipulate the tidal work for Papapetrou, Weinberg and Goldberg pseudotensors. We obtained the same tidal work as Purdue achieved. In addition, we emphasize that a suitable gravitational energy-momentum pseudotensor requires fulfill the inside matter condition and all of the classical pseudotensors pass this test except M$ø$ller. Moreover, we constructed a general pseudotesnor which is modified by 13 linear artificial higher order terms combination with Einstein pseudotensor. We find that the result agrees with Thorne's prediction, i.e., relativistic tidal work is pseudotensor independent.
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