Vector unparticle enhanced black holes: exact solutions and thermodynamics

TL;DR

This paper derives exact solutions for vector unparticle-enhanced black holes, revealing RN-like structures with unique horizon properties and fractal thermodynamic behavior, advancing understanding of unparticle effects in gravity.

Contribution

It provides the first exact Einstein solutions for vector unparticle effects on black holes, showing RN-like metrics with novel horizon and thermodynamic features.

Findings

Black holes exhibit double-horizon structure with a minimum inner horizon.

Hawking temperature vanishes in the extremal limit.

Horizon entropy behaves like a fractal surface with spectral dimension 2d_U.

Abstract

Tensor and scalar unparticle couplings to matter have been shown to enhance gravitational interactions and provide corrections to the Schwarzschild metric and associated black hole structure. We derive an exact solution to the Einstein equations for vector unparticles, and conclusively demonstrate that these induce Riessner-Nordstr\"om (RN)-like solutions where the role of the "charge" is defined by a composite of unparticle phase space parameters. These black holes admit double-horizon structure, although unlike the RN metric these solutions have a minimum inner horizon value. In the extremal limit, the Hawking temperature is shown to vanish. As with the scalar/tensor case, the (outer) horizon is shown via entropy considerations to behave like a fractal surface of spectral dimension $d_H = 2\du$.