Instability of Gravitational and Electromagnetic Perturbations of Extremal Reissner–Nordström Spacetime
Instability of Gravitational and Electromagnetic Perturbations of Extremal Reissner–Nordström Spacetime
Abstract We study the linear stability problem to gravitational and electromagnetic perturbations of the extremal , $$ |Q|=M, $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>|</mml:mo> <mml:mi>Q</mml:mi> <mml:mo>|</mml:mo> <mml:mo>=</mml:mo> <mml:mi>M</mml:mi> <mml:mo>,</mml:mo> </mml:mrow> </mml:math> Reissner–Nordström spacetime, as a solution to the Einstein–Maxwell equations. Our work uses and extends the framework [28, 32] of Giorgi, …