R-Charged Black Holes and Holographic Optics

Prabwal Phukon; Tapobrata Sarkar

R-Charged Black Holes and Holographic Optics

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arxiv 1305.2745 v2 pith:EWEPEHQX submitted 2013-05-13 hep-th

Prabwal Phukon , Tapobrata Sarkar This is my paper · ORCID

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abstract

We analyze momentum dependent vector modes in the context of gauge theories dual to R-charged black holes in $D=4$, $5$ and $7$. For a variety of examples, the master variables are constructed, for which the linearized equations for the perturbations decouple. These allow for the computation of momentum dependent correlation functions. Away from the hydrodynamic limit, numerical analysis using the decoupled equations of motion is used to obtain the analogues of the Depine-Lakhtakia (DL) index. For specified ranges of frequencies, a negative index of refraction is seen to occur in all cases.

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Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent
gr-qc 2025-05 conditional novelty 4.0 of 10

For 4D R-charged black holes, the Lyapunov exponent of unstable circular orbits tracks black hole phase transitions, and its discontinuity near the critical point shows a universal critical exponent of 1/2.

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