Aspects of the BTZ black hole interacting with fields
Leonardo Ort\'iz, Nora Bret\'on
TL;DR
This paper investigates the behavior of Dirac and scalar fields in BTZ black holes, demonstrating no superradiance for Dirac fields under certain conditions and outlining methods to compute quantum effects like the energy-momentum tensor.
Contribution
It provides new insights into quantum field interactions with BTZ black holes, including the absence of superradiance for Dirac fields and construction of the Hartle-Hawking-Israel state.
Findings
No superradiance for Dirac fields with vanishing boundary conditions.
Calculation methods for the renormalized energy-momentum tensor and effective action.
Construction of the Hartle-Hawking-Israel state for scalar fields.
Abstract
We show that there is no superradiance for the Dirac field in the rotating BTZ black hole if the field vanishes at infinity. Then we outline the calculation of the expression for the renormalized energy-momentum tensor, the effective action as well as the heat kernel for the Dirac field for the BTZ black hole. Finally we point out how to construct the Hartle-Hawking-Israel state for the real scalar field in the non-rotating BTZ black hole in two and three dimensions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.