New Rotating Non-Extremal Black Holes in D=5 Maximal Gauged Supergravity

TL;DR

This paper constructs new non-extremal rotating AdS$_5$ black holes in maximal $SO(6)$-gauged supergravity characterized by mass $m$, two independent angular momenta $(a,b)$, and two independent charge parameters with two equal charges ($Q_1=Q_2$) and one independent charge ($Q_3$). The authors derive the full metric and gauge fields, compute conserved charges and thermodynamics via the first law, and demonstrate consistency with known solutions in special limits. They analyze the BPS limit, obtaining conditions under which regular supersymmetric black holes or smooth topological solitons arise, including a zero-temperature double-root requirement $oldsymbol{ riangle_r(r_0)=0=oldsymbol{ riangle_r'(r_0)}}$ and a corresponding mass formula. Additionally, they present a SUSY-topology soliton branch via a different factorization condition leading to a quantization constraint that ensures regularity. The results broaden the solution space relevant to AdS/CFT, highlighting avenues toward a fully general six-parameter (three charges, two angular momenta, mass) family and informing the study of dual boundary theories.

Abstract

We obtain new non-extremal rotating black hole solutions in maximal five-dimensional gauged supergravity. They are characterised by five parameters, associated with the mass, the two angular momenta, and two independently-specifiable charge parameters. Two of the three charges associated with the U(1)^3 Cartan subgroup of the SO(6) gauge group are equal, whilst the third can be independently specified. These new solutions generalise all the previously-known rotating solutions in five-dimensional gauged supergravity with independent angular momenta. They describe regular black holes, provided the parameters lie in appropriate ranges so that naked singularities and closed-timelike curves (CTCs) are avoided. We also construct the BPS limit, and show that regular supersymmetric black holes or topological solitons arise if the parameters are further restricted in an appropriate manner.