Islands on codim-2 branes in Gauss-Bonnet Gravity

TL;DR

This paper investigates the black hole information paradox on codim-2 branes within Gauss-Bonnet gravity, demonstrating the universality of the island mechanism and analyzing the behavior of Hartman-Maldacena surfaces and Page times.

Contribution

It extends the island paradigm to Gauss-Bonnet gravity, showing the Page curve can be recovered for all couplings and establishing relations between Page time, GB couplings, and brane tension.

Findings

Island surfaces end on the brane, enabling Page curve recovery.

HM surfaces exist only in finite time, with maximum times exceeding Page times.

Page time increases with GB couplings and brane tension.

Abstract

We study the black hole information problem on codim-2 branes in Gauss-Bonnet gravity. Thanks to the island surface ending on the brane, the Page curve of eternal black holes can be recovered for all of the GB couplings within the causal constraints. Our results strongly support the universality of the island mechanism. Similar to Einstein's gravity, the HM surface can exist only in a finite time in GB gravity. Remarkably, for various parameters, the maximum times of HM surface are always larger than the Page times. As a result, the strange behavior of HM surfaces does not affect the Page curves for general GB gravity. Finally, we establish the correlation between the Page time, GB couplings, and brane tension, revealing that the Page time increases with these factors.