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Einstein's quadrupole formula from the kinetic-conformal Horava theory

机译:爱因斯坦的四极杆公式来自动力学共形Horava理论

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摘要

We analyze the radiative and nonradiative linearized variables in a gravitytheory within the familiy of the nonprojectable Horava theories, the Horavatheory at the kinetic-conformal point. There is no extra mode in thisformulation, the theory shares the same number of degrees of freedom withgeneral relativity. The large-distance effective action, which is the one weconsider, can be given in a generally-covariant form under asymptotically flatboundary conditions, the Einstein-aether theory under the condition ofhypersurface orthogonality on the aether vector. In the linearized theory wefind that only the transverse-traceless tensorial modes obey a sourced waveequation, as in general relativity. The rest of variables are nonradiative. Theresult is gauge-independent at the level of the linearized theory. For the caseof a weak source, we find that the leading mode in the far zone is exactlyEinstein's quadrupole formula of general relativity, if some coupling constantsare properly identified. There are no monopoles nor dipoles in thisformulation, in distinction to the nonprojectable Horava theory outside thekinetic-conformal point. We also discuss some constraints on the theory arisingfrom the observational bounds on Lorentz-violating theories.
机译:我们分析了重力理论中的辐射和非辐射线性化变量,这些理论是在不可投影的Horava理论(动力学保形点处的Horava理论)的家族内进行的。该公式没有多余的模式,该理论与广义相对论共享相同数量的自由度。我们认为,大距离有效作用可以在渐近平边界条件下以一般协变形式给出,在以太矢量的超表面正交性条件下可以用爱因斯坦-以太理论给出。在线性化理论中,我们发现,与广义相对论一样,仅横向无痕张量模式服从源波方程。其余变量是非辐射性的。结果在线性化理论的层面上与规范无关。对于弱信号源,我们发现,如果适当地确定了一些耦合常数,则远区的超前模正是爱因斯坦的广义相对论的四极公式。与动力学适形点之外的不可投射的Horava理论不同,该公式中没有单极子也没有偶极子。我们还讨论了由于违反洛伦兹理论的观察范围而对理论产生的一些限制。

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