Wave zone in the Ho\v{r}ava-Lifshitz theory at the kinetic-conformal point in the low energy regime
| Autor: | J. M. Peña, Alvaro Restuccia, J. Mestra-Páez |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
High Energy Physics - Theory Physics and Astronomy (miscellaneous) General relativity Gravitational wave Coordinate system Degrees of freedom (physics and chemistry) Conformal map QC770-798 Submanifold Wave equation Astrophysics General Relativity and Quantum Cosmology QB460-466 symbols.namesake Classical mechanics Nuclear and particle physics. Atomic energy. Radioactivity symbols Hamiltonian (quantum mechanics) Engineering (miscellaneous) |
| Zdroj: | European Physical Journal European Physical Journal C: Particles and Fields, Vol 81, Iss 10, Pp 1-7 (2021) |
| Popis: | We show that in the Ho\v{r}ava-Lifshitz theory at the kinetic-conformal point, in the low energy regime, a wave zone for asymptotically flat fields can be consistently defined. In it, the physical degrees of freedom, the transverse traceless tensorial modes, satisfy a linear wave equation. The Newtonian contributions, among which there are terms which manifestly break the relativistic invariance, are non-trivial but do not obstruct the free propagation (radiation) of the physical degrees of freedom. For an appropriate value of the couplings of the theory, the wave equation becomes the relativistic one in agreement with the propagation of the gravitational radiation in the wave zone of General Relativity. Previously to the wave zone analysis, and in general grounds, we obtain the physical Hamiltonian of the Ho\v{r}ava-Lifshitz theory at the kinetic-conformal point in the constrained submanifold. We determine the canonical physical degrees of freedom in a particular coordinate system. They are well defined fuctions of the transverse-traceless modes of the metric and coincide with them in the wave zone and also at linearized level. Comment: New comments and references have been added to the introduction. 7 pages |
| Databáze: | OpenAIRE |
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