# Curvature corrections and topology change transition in brane-black hole systems: A perturbative approach

@article{Czinner2009CurvatureCA,
title={Curvature corrections and topology change transition in brane-black hole systems: A perturbative approach},
author={Viktor G. Czinner and Antonino Flachi},
journal={Physical Review D},
year={2009},
volume={80},
pages={104017}
}
• Published 20 August 2009
• Physics
• Physical Review D
We consider curvature corrections to static, axisymmetric Dirac-Nambu-Goto membranes embedded into a spherically symmetric black hole spacetime with arbitrary number of dimensions. Since the next to leading order corrections in the effective brane action are quadratic in the brane thickness $\ensuremath{\ell}$, we adopt a linear perturbation approach in ${\ensuremath{\ell}}^{2}$. The perturbations are general in the sense that they are not restricted to the Rindler zone nor to the near-critical…
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