Branes at quantum criticality

Klusoň, Josef

doi:10.1088/1126-6708/2009/07/079

Cited by 62 publications

(47 citation statements)

References 78 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As a result, the corresponding Wheeler-DeWitt equation simply takes the form of Eq. (25) and has a plane-wave solution (26), in terms of the gauge-invariant length L(t) defined by Eq.(27). Therefore, similar to the projectable case [15], this system is also quantum mechanical in nature.…”

Section: Discussionmentioning

confidence: 99%

Quantization of 2d Hořava gravity: Nonprojectable case

Satheeshkumar²,

Wang

2016

Phys. Rev. D

View full text Add to dashboard Cite

The quantization of two-dimensional Hořava theory of gravity without the projectability condition is considered. Our study of the Hamiltonian structure of the theory shows that there are two first-class and two second-class constraints. Then, following Dirac we quantize the theory by first requiring that the two second-class constraints be strongly equal to zero. This is carried out by replacing the Poisson bracket by the Dirac bracket. The two first-class constraints give rise to the Wheeler-DeWitt equations, which yield uniquely a plane-wave solution for the wavefunction. We also study the classical solutions of the theory and find that the characteristics of classical spacetimes are encoded solely in the phase of the plane-wave solution in terms of the extrinsic curvature of the foliations t =Constant, where t denotes the globally-defined time of the theory.

show abstract

Section: Discussionmentioning

confidence: 99%

Quantization of 2d Hořava gravity: Nonprojectable case

Satheeshkumar²,

Wang

2016

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…[6], where using a regular quadratic action, the renormalizability of the scalar mode is recovered. Moreover, studying the Hamiltonian formulation of f (R)−Hořava theories, Klusoň proposed them as some "healthy" extensions of Hořava gravity [7,8]. Furthermore, it has been shown that by imposing a local U(1) gauge symmetry, one can eliminate the mentioned scalar mode and retain the general covariance and hence, another healthy version of the theory [9].…”

Section: Introductionmentioning

confidence: 99%

Evolving Hořava cosmological horizons

Fathi¹,

Mohseni²

2016

Chinese Phys. C

View full text Add to dashboard Cite

Several sets of radially propagating null congruence generators are exploited in order to form 3-dimensional marginally trapped surfaces, referred to as black hole and cosmological apparent horizons in a Hořava universe. Based on this method, we deal with the characteristics of the 2-dimensional space-like spheres of symmetry and the peculiarities of having trapping horizons. Moreover, we apply this method in standard expanding and contracting FLRW cosmological models of a Hořava universe to investigate the conditions under which the extra parameters of the theory may lead to trapped/anti-trapped surfaces both in the future and in the past. We also include the cases of negative time, referred to as the finite past, and discuss the formation of anti-trapped surfaces inside the cosmological apparent horizons.

show abstract

“…Recently, the Hořava-Lifshitz gravity theory has been intensively investigated in [2,3,4,5,6,7,8,9,10] and its cosmological applications have been studied in [11,12,13,14,15,16].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of Hořava–Lifshitz black holes

Myung

Kim

2010

Eur. Phys. J. C

View full text Add to dashboard Cite

We study black holes in the Hořava-Lifshitz gravity with a parameter λ. For 1/3 ≤ λ < 3, the black holes behave the Lifshitz black holes with dynamical exponent 0 < z ≤ 4, while for λ > 3, the black holes behave the Reissner-Nordström type black hole in asymptotically flat spacetimes. Hence, these all are quite different from the Schwarzschild-AdS black hole of Einstein gravity. The temperature, mass, entropy, and heat capacity are derived for investigating thermodynamic properties of these black holes.

show abstract

Branes at quantum criticality

Cited by 62 publications

References 78 publications

Quantization of 2d Hořava gravity: Nonprojectable case

Quantization of 2d Hořava gravity: Nonprojectable case

Evolving Hořava cosmological horizons

Thermodynamics of Hořava–Lifshitz black holes

Contact Info

Product

Resources

About