Hořava-Lifshitz宇宙学中的分岔与混沌

Bouncing Cosmology for Entropy Corrected Models in Horava-Lifshitz Gravity and Fractal Universe

The modified field equations are written in logarithmic and power law versions of entropy corrected models in Einstein's gravity in the background of FRW universe. In one section, a brief review of the Ho$\check{\text r}$ava-Lifshitz gravity is discussed and the modified field equations in logarithmic and power law versions of entropy corrected models in Ho$\check{\text r}$ava-Lifshitz gravity are formulated. The stability analysis for these models are performed by describing the dynamical system. In another section, a brief review of the fractal universe is presented and the modified field eq…

Hořava-Lifshitz Bouncing Bianchi IX Universes: A Dynamical System Analysis

We examine the Hamiltonian dynamics of bouncing Bianchi IX cosmologies in Hořava-Lifshitz gravity. The $6$-dim phase space presents two critical points, one asymptotic de Sitter attractor at infinity and a $2$-dim invariant plane. We identified four distinct parameter domains $A$, $B$, $C$ and $D$ for which the pair of critical points engenders distinct features in the dynamics. In the domain $A$ the dynamics consists basically of periodic bouncing orbits, or oscillatory orbits with a finite number of bounces. The center with multiplicity two engenders in its neighborhood the topology of stabl…

Logarithmic Entropy of Kehagias-Sfetsos black hole with Self-gravitation in Asymptotically Flat IR Modified Horava Gravity

Motivated by recent logarithmic entropy of Ho$\check{r}$ava-Lifshitz gravity, we investigate Hawking radiation for Kehagias-Sfetsos black hole from tunneling perspective. After considering the effect of self-gravitation, we calculate the emission rate and entropy of quantum tunneling by using Kraus-Parikh-Wilczek method. Meanwhile, both massless and massive particles are considered in this letter. Interestingly, two types tunneling particles have the same emission rate $Γ$ and entropy $S_b$ whose analytical formulae are $Γ= \exp{[π(r_{in}^2 - r_{out}^2t)/2 + π/α\ln r_{in}/r_{out}]}$ and $S_b =…

Cosmological solutions in Hořava-Lifshitz gravity

We perform a detailed study on the integrability of the Hoř% ava-Lifshitz scalar field cosmology in a Friedmann--Lema\^ı% tre--Robertson--Walker background spacetime. The approach we follow to determine the integrability is that of the Singularity Analysis. More specifically, we test if the gravitational field equations possesses the Painlevé property. For the exponential potential of the scalar field we are able to perform an analytic explicit integration of the field equations and write the solution in terms of Laurent expansion and more specifically write the solution in terms of Right Pain…

Hořava-Lifshitz引力中稳定暗能量星的研究

Study of Stable Dark Energy Stars in Hořava-Lifshitz gravity

本文在HL引力中采用扩展Chaplygin气体EoS数值求解广义TOV方程，研究暗能量星结构、质量半径特征及径向扰动稳定性，发现可存在比GR中更重且稳定的暗能量星。