A Note on the Collision of Reissner-Nordstr\"om Gravitational Shock Waves in AdS

TL;DR

This paper investigates how electric charge influences the collision of Reissner-Nordström gravitational shock waves in Anti-de Sitter space, revealing that charge prevents the formation of certain trapped surfaces regardless of energy or impact parameter.

Contribution

It demonstrates that charge completely inhibits the formation of specific trapped surfaces in shock wave collisions in AdS, extending understanding of gravitational dynamics with charge.

Findings

Charge prevents formation of Penrose-type trapped surfaces.

No S^1 x S^(D-3) trapped surfaces form in head-on collisions.

Results are independent of energy and impact parameter.

Abstract

We study the collision of two Reissner-Nordstr\"om gravitational shock waves in AdS and show that the charge completely prevents the formation of marginally trapped surfaces of the Penrose type with topology S^(D-2), independently of the energy and the value of the impact parameter. In the case of head-on collisions, a numerical analysis shows that no trapped surfaces with topology S^1 \times S^(D-3) form either.