Evolving Horava Cosmological Horizons

Abstract

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 Horava 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 Horava 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.

arXiv comment13 pages, 14 figures

References in corpus (29)

• Quantum Gravity at a Lifshitz Point
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• A healthy extension of Horava gravity
• The black hole and FRW geometries of non-relativistic gravity
• Strong coupling in Horava gravity
• Solutions to Horava Gravity
• Horava-Lifshitz Cosmology: A Review
• On the Extra Mode and Inconsistency of Horava Gravity
• General Covariance in Quantum Gravity at a Lifshitz Point
• Topological Black Holes in Horava-Lifshitz Gravity
• Black holes in Einstein-aether and Horava-Lifshitz gravity
• Thermodynamics of Black Holes in Horava-Lifshitz Gravity
• The Black Hole and Cosmological Solutions in IR modified Horava Gravity
• Lifshitz Gravity for Lifshitz Holography
• Renormalization of Horava Gravity
• Horizon Thermodynamics and Gravitational Field Equations in Horava-Lifshitz Gravity
• Pathological behaviour of the scalar graviton in Hořava-Lifshitz gravity
• Particle Motion around Black Hole in Horava-Lifshitz Gravity
• Dynamical Emergence of Universal Horizons during the formation of Black Holes
• Note About Hamiltonian Formalism of Healthy Extended Horava-Lifshitz Gravity
• Timelike Geodesic Motion in Horava-Lifshitz Spacetime
• Particle acceleration in Horava-Lifshitz black holes
• Note About Hamiltonian Formalism of Modified $F(R)$ Hořava-Lifshitz Gravities and Their Healthy Extension
• Cosmological black holes from self-gravitating fields
• On the energy of Hořava-Lifshitz black holes
• U(1) Invariant F(R) Horava-Lifshitz Gravity
• Lagrange Multiplier Modified Horava-Lifshitz Gravity
• Non-Projectable Horava-Lifshitz Gravity without Unwanted Scalar Graviton
• Spherical Symmetric Solutions in Hořava-Lifshitz Gravity and their Properties