arXiv 0912.03992009-12-10hep-th

Horava引力的动力学不一致性

A dynamical inconsistency of Horava gravity

Marc Henneaux, Axel Kleinschmidt, Gustavo Lucena Gómez

备注：: 28 pages, 2 references added
发表信息：: Phys.Rev.D81:064002,2010
DOI：: 10.1103/PhysRevD.81.064002

摘要：

研究了Horava引力的非可投射形式的动力学相容性，主要讨论了渐近平坦情形。它认为，一般的解决方案的约束方程的失效必须渐近消失。然后，我们考虑特定的值的耦合常数的方程是易处理的，在这种情况下，我们证明了失效必须消失无处不在-而不仅仅是在无穷大。换句话说，哈密顿约束一般都是二等的。然后，我们认为，同样的功能持有通用值的耦合，从而揭示了物理理论的不一致性。为了治愈这种病态，人们可能想引入更多的限制，但由此产生的理论将失去Horava最初提议的吸引力。我们还表明，有没有矛盾的时间reparametrization不变性的行动，因为这种不变性被证明是一个所谓的“平凡规范对称性“在Horava引力，因此没有相关的第一类约束。

英文摘要：

The dynamical consistency of the non-projectable version of Horava gravity is investigated by focusing on the asymptotically flat case. It is argued that for generic solutions of the constraint equations the lapse must vanish asymptotically. We then consider particular values of the coupling constants for which the equations are tractable and in that case we prove that the lapse must vanish everywhere -- and not only at infinity. Put differently, the Hamiltonian constraints are generically all second-class. We then argue that the same feature holds for generic values of the couplings, thus revealing a physical inconsistency of the theory. In order to cure this pathology, one might want to introduce further constraints but the resulting theory would then lose much of the appeal of the original proposal by Horava. We also show that there is no contradiction with the time reparametrization invariance of the action, as this invariance is shown to be a so-called "trivial gauge symmetry" in Horava gravity, hence with no associated first-class constraints.

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