A trouble with Hořava-Lifshitz gravity
199 citations recorded by the source corpus.
We study the structure of the phase space in Horava-Lifshitz theory. With the constraints derived from the action, the phase space is described by five fields, thus there is a lack of canonical structure. The Poisson brackets of the Hamiltonian density do not form a closed structure, resulting in many new constraints. Taking these new constraints into account, it appears that there is no degree of freedom left, or the phase space is reduced to one with an odd number of fields.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/bf353a44cff8e098923cc8cfff320d25e83af7b3
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In Astronomy and Astrophysics
In Nuclear and High Energy Physics
Citations in the corpus
- A dynamical inconsistency of Horava gravity (2009, background): “This is the approach explored in [8] (which, however, did not recognize the fact that generically the constraints are second-class).”
- Dark matter as integration constant in Horava-Lifshitz gravity (2009, unknown): “Abandoning the projectability condition and imposing a local version of the Hamiltonian constraint would result in phenomenological obstacles [35] and theoretical inconsistencies [36].”
- The black hole and cosmological solutions in IR modified Hořava gravity (2009, background): “Since then various aspects and solutions have been studied [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29].”
- On the extra mode and inconsistency of Hořava gravity (2009, unknown): “However, in the theory at hand the higher derivative operators are of a special type that allows for a well-posed Cauchy problem with reduced number of initial data in the preferred foliation.”