Stringy black holes and energy conditions

Abstract

The energy condition inequalities for the matter stress energy comprised out of the dilaton and Maxwell fields in the dilaton-Maxwell gravity theories emerging out of string theory are examined in detail. In the simplistic 1+1 dimensional models, $R\le 0$ (where $R$ is the Ricci scalar), turns out to be the requirement for ensuring focusing of timelike geodesics. In 3+1 dimensions, we outline the requirements on matter for pure dilaton theories-these in turn constrain the functional forms of the dilaton. Furthermore, in charged dilaton gravity a curious opposite behaviour of the matter stress energy w.r.t the violation/conservation of the Weak Energy Condition is noted for the electric and magnetic black hole metrics written in the string frame of reference. We also investigate the matter that is necessary for creating certain specific non-asymptotically flat black holes. For the electric and magnetic black hole metrics, strangely, matter satisfies the weak energy condition in the string frame. Finally, the Averaged Null Energy Condition is evaluated along radial null geodesics for each of these black hole spacetimes.

23 pages, RevTex, no figures, corrected and extended,to appear in Physical Review D

References in corpus (7)

• Target Space Duality in String Theory
• Strong-Weak Coupling Duality in Four Dimensional String Theory
• Charged Dilaton Black Holes with Unusual Asymptotics
• The Dark Side of String Theory: Black Holes and Black Strings
• Non-Singularity of the Exact Two-Dimensional String Black Hole
• Large Deformations of Relativistic Membranes: A Generalization of the Raychaudhuri Equations
• Cosmological Models in Two Spacetime Dimensions

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• Naked singularities in low energy, effective string theory
• Integrability of Kerr-Newman spacetime with cloud strings, quintessence and electromagnetic field
• Geodesics and geodesic deviation in a two-dimensional black hole
• Stability Analysis of Geodesics and Quasinormal Modes of a Dual Stringy Black Hole Via Lyapunov Exponents
• Geodesic Motion in a Charged 2D Stringy Blackhole Spacetime
• Toward General-Relativistic Magnetohydrodynamics Simulations in Stationary Non-Vacuum Spacetimes
• Semi-classical stability of supergravity vacua
• Self-Gravitating Matter in Stationary and Axisymmetric Black Hole Spacetimes
• Geodesic structure of five-dimensional non-asymptotically flat 2-branes
• Non-spherical collapse of a two fluid star