Simulation of intersecting black brane solutions

TL;DR

This paper presents a family of solutions modeling intersecting black branes using anisotropic fluids, connecting these solutions to known intersecting brane metrics and calculating relevant post-Newtonian parameters.

Contribution

It introduces a new class of spherically symmetric solutions with horizons that simulate intersecting black branes within a multi-component anisotropic fluid framework.

Findings

Solutions include Ricci-flat internal spaces

Metrics match intersecting black brane solutions for specific equations of state

Post-Newtonian parameters are computed for the 4D section

Abstract

A family of spherically symmetric solutions with horizon in the model with multi-component anisotropic fluid (MCAF) is obtained. The metric of any solution contains n-1 Ricci-flat ``internal space'' metrics and for certain equations of state (p_i = \pm \rho) coincides with the metric of intersecting black brane solution in the model with antisymmetric forms. Examples of simulation of intersecting M2 and M5 black branes are considered. The post-Newtonian parameters beta and gamma corresponding to the 4-dimensional section of the metric are calculated.