Carroll black holes

TL;DR

This paper explores black hole-like solutions in Carroll gravity, defining Carroll black holes with thermal properties and extremal surfaces, and discusses their examples including Carroll versions of known black holes.

Contribution

It introduces the concept of Carroll black holes with thermal and extremal surface properties, extending black hole notions to Carroll gravity.

Findings

Carroll black holes exhibit thermal properties.

Examples include Carroll analogues of Schwarzschild, Reissner-Nordström, and BTZ black holes.

The work defines Carroll extremal surfaces as analogues of Lorentzian extremal surfaces.

Abstract

Despite the absence of a lightcone structure, some solutions of Carroll gravity show black hole-like behaviour. We define Carroll black holes as solutions of Carroll gravity that exhibit Carroll thermal properties and have a Carroll extremal surface, notions introduced in our work. The latter is a Carroll analogue of a Lorentzian extremal surface. As examples, we discuss the Carroll versions of Schwarzschild, Reissner-Nordstroem, and BTZ black holes and black hole solutions of generic 1+1 dimensional Carroll dilaton gravity, including Carroll JT and Carroll Witten black holes.