2019/02/03 by Sayantani Bhattacharyya, Parthajit Biswas, Anirban Dinda +1 · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep05(2019)054
arxiv created 2019/02/03 · arxiv updated 2019/06/05
In this note we have compared two different perturbation techniques that could be used to generate solutions of Einstein's equations in presence of negative cosmological constant. One of these two methods is derivative expansion and the other is an expansion in inverse powers of dimension. Both the techniques generate space-time with a singularity shielded by a dynamical event horizon. We have shown that in the appropriate regime of parameter space and with appropriate choice of coordinates, the metrics and corresponding horizon dynamics, generated by these two different techniques, are exactly equal to the order the solutions are known both sides. This work is essentially extension of \citeprevwork where the authors have shown the equivalence of the two techniques up to the first non-trivial order.