Particles motion on topological Lifshitz black holes in 3+1 dimensions

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Abstract

In the present paper we study the causal structure of a topological black hole presented by Mann R. B. JHEP 06, 075 (2009) by mean the standard Lagrangian procedure, which allow us analyze qualitatively the behavior of test particles using the effective potential. Then, the geodesic motion of massive and massless particles is obtained analytically. We find that confined orbits are forbidden on this spacetime, however radial photons can escape to infinity in an infinite proper time but in a finite coordinate time, this correspond to an interesting and novel result.

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Gravity Duals of Lifshitz-like Fixed Points

Shamit Kachru, Xiao Liu, Michael S Mulligan (2008)

We find candidate macroscopic gravity duals for scale-invariant but non-Lorentz invariant fixed points, which do not have particle number as a conserved quantity. We compute two-point correlation functions which exhibit novel behavior relative to their AdS counterparts, and find holographic renormalization group flows to conformal field theories. Our theories are characterized by a dynamical critical exponent \(z\), which governs the anisotropy between spatial and temporal scaling \(t \to \lambda^z t\), \(x \to \lambda x\); we focus on the case with \(z=2\). Such theories describe multicritical points in certain magnetic materials and liquid crystals, and have been shown to arise at quantum critical points in toy models of the cuprate superconductors. This work can be considered a small step towards making useful dual descriptions of such critical points.

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Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric spacetimes

Eva Hackmann, Valeria Kagramanova, Jutta Kunz … (2008)

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The geodesic structure of the Schwarzschild Anti-de Sitter black hole

Norman Cruz, José R. Villanueva, Marco Olivares (2004)

In the present work we found the geodesic structure of an AdS black hole. By means of a detailed analyze of the corresponding effective potentials for particles and photon, we found all the possible motions which are allowed by the energy levels. Radial and non radial trajectories were exactly evaluated for both geodesics. The founded orbits were plotted in order to have a direct visualization of the allowed motions. We show that the geodesic structure of this black hole presents new type of motions not allowed by the Schwarzschild spacetime.