Wormholes in Horava gravity with cosmological constant

Abstract

By combining analytical and numerical methods we find that the solutions of the complete Horava theory with negative cosmological constant that satisfy the conditions of staticity, spherical symmetry and vanishing of the shift function are two kinds of geometry: (i) a wormhole-like solution with two sides joined by a throat and (ii) a single side with a naked singularity at the origin. We study the second-order effective action. We consider the case when the coupling constant of the (partial ln N)^2 term, which is the unique deviation from general relativity in the effective action, is small. At one side the wormhole acquires a kind of deformed AdS asymptotia and at the other side there is an asymptotic essential singularity. The deformation of AdS essentially means that the lapse function N diverges asymptotically a bit faster than AdS. This can also be interpreted as an anisotropic Lifshitz scaling that the solutions acquire asymptotically.

30 pages, 7 figures. Version 3: Changes in presentation with the same results

References in corpus (9)

• Quantum Gravity at a Lifshitz Point
• Strong coupling in Horava gravity
• Solutions to Horava Gravity
• Black holes in Einstein-aether and Horava-Lifshitz gravity
• Lifshitz Gravity for Lifshitz Holography
• A general class of braneworld wormholes
• More on "Little Lambda" in Hořava-Lifshitz Gravity
• Non-perturbative analysis of the constraints and the positivity of the energy of the complete Horava theory
• Wormholes and naked singularities in the complete Horava theory

Cited by in corpus (8)

• Hořava Gravity at a Lifshitz Point: A Progress Report
• Charged traversable wormholes supported by Casimir energy with and without GUP corrections
• Extended phase-space analysis of the Horava-Lifshitz cosmology
• Complete Classification of Four-Dimensional Black Hole and Membrane Solutions in IR-modified Hořava Gravity
• Spherically symmetric solutions of the $\lambda$-R model
• On the space of solutions of the Horava theory at the kinetic-conformal point
• Euclidean Wormholes in Horava-Lifshitz Gravity
• Exact analytic solutions in 2+1 Hořava gravity with cosmological constant