Global dynamics of the Horava-Lifshitz cosmological model in a non-flat universe with non-zero cosmological constant

Gao, Fabao; Llibre, Jaume

doi:10.48550/arxiv.2007.08049

Cited by 2 publications

(2 citation statements)

References 53 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Along the years the feasibility of the HL theory has been widely studied, for example in [7][8][9] the Hamiltonian formulation was analyzed, and from the phenomenological point of view in [10] the radiation of gravitational waves of self-gravitating binary systems in the low-energy limit was investigated. On the cosmological background within the framework of the projectable version, interesting solutions have been obtained [11][12][13][14] and also in the standard model domain [15] and four-fermion Gross-Neveu like models [16] novels results were presented. In a more particular context than the quantum and cosmological aspects that this proposal offers, it is especially interesting as well as intriguing to investigate the possible existence of exotic structures such as wormholes (WH from now on).…”

Section: Introductionmentioning

confidence: 99%

Charged Throats in the Hořava--Lifshitz Theory

Restuccia,

Tello-Ortiz

2021

Preprint

View full text Add to dashboard Cite

A spherically symmetric solution of the field equations of the Hořava-Lifshitz gravity-gauge vector interaction theory is obtained and analyzed. It describes a charged throat. The solution exists provided a restriction on the relation between the mass and charge is satisfied. The restriction reduces to the Reissner-Nordström one in the limit in which the coupling constants tend to the relativistic values of General Relativity. We introduce the correct charts to describe the solution across the entire manifold, including the throat connecting an asymptotic Minkowski space-time with a singular 3+1 dimensional manifold. The solution external to the throat on the asymptotically flat side tends to the Reissner-Nordström space-time at the limit when the coupling parameter, associated with the term in the low energy Hamiltonian that manifestly breaks the relativistic symmetry, tends to zero. Also, when the electric charge is taken to be zero the solution becomes the spherically symmetric and static solution of the Hořava-Lifshitz gravity.

show abstract

Section: Introductionmentioning

confidence: 99%

Charged Throats in the Hořava--Lifshitz Theory

Restuccia,

Tello-Ortiz

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In a broader context, this theory has motivated research in various fields, for example in the framework of the so-called λ-R model [22], spherically symmetric solutions and the initial value problem have been explored [23][24][25]. Furthermore, studies on the cosmological setting and its properties have been analyzed in the following recent works [26][27][28][29]. Also progress has been reported in the standard model domain [30], four-fermion Gross-Neveu like models [31] and the quantization in 2+1 dimensions [32].…”

Section: Introductionmentioning

confidence: 99%

Quantum aspects of the gravitational-gauge vector coupling in the Hořava-Lifshitz theory at the kinetic conformal point

Restuccia¹,

Tello‐Ortiz²

2020

Preprint

View full text Add to dashboard Cite

This work presents the main aspects of the anisotropic gravity-vector gauge coupling at all energy scales ı.e., from the IR to the UV point. This study is carry out starting from the 4+1 dimensional Hořava-Lifshitz theory, at the kinetic conformal point.The Kaluza-Klein technology is employed as a unifying mechanism to couple both interactions. Furthermore, by assuming the so-called cylindrical condition, the dimensional reduction to 3+1 dimensions leads to a theory whose underlying group of symmetries corresponds to the diffeomorphisms preserving the foliation of the manifold and a U(1) gauge symmetry. The counting of the degrees of freedom shows that the theory propagates the same spectrum of Einstein-Maxwell theory. The speed of propagation of tensorial and gauge modes is the same, in agreement with recent observations. This point is thoroughly studied taking into account all the z = 1, 2, 3, 4 terms that contribute to the action. In contrast with the 3+1 dimensional formulation, here the Weyl tensor contributes in a non-trivial way to the potential of the theory. Its complete contribution to the 3+1 theory is explicitly obtained. Additionally, it is shown that the constraints and equations determining the full set of Lagrange multipliers are elliptic partial differential equations of eighth-order. To check and assure the consistency and positivity of the reduced Hamiltonian some restrictions are imposed on the coupling constants. The propagator of the gravitational and gauge sectors are obtained showing that there are not ghost fields, what is more they exhibit the z = 4 scaling for all physical modes at the high energy level. By evaluating the superficial degree of divergence and considering the structure of the second class constraints, it is shown that the theory is power-counting renormalizable.

show abstract

Global dynamics of the Horava-Lifshitz cosmological model in a non-flat universe with non-zero cosmological constant

Abstract: In the case of non-zero cosmological constant the global dynamics of the cosmological model based on Hořava-Lifshitz gravity in a non-flat universe is characterized by using the qualitative theory of differential equations.

Cited by 2 publications

References 53 publications

Charged Throats in the Hořava--Lifshitz Theory

Charged Throats in the Hořava--Lifshitz Theory

Quantum aspects of the gravitational-gauge vector coupling in the Hořava-Lifshitz theory at the kinetic conformal point

Contact Info

Product

Resources

About