Strings near black holes are Carrollian

We demonstrate that strings near the horizon of a Schwarzschild black hole, when viewed by a stationary observer at infinity, probe a string Carroll geometry, where the effective light speed is given by the distance from the horizon. We expand the Polyakov action in powers of this light speed to find a theory of Carrollian strings. We show that the string shrinks to a point to leading order near the horizon, which follows a null geodesic in a two-dimensional Rindler space. At the next-to-leading order the string oscillates in the embedding fields associated with the near-horizon two-sphere. Published by the American Physical Society 2024

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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2024-10-08
DOI
https://doi.org/10.1103/physrevd.110.086009
Citations
16
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
10.55

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Strings near black holes are Carrollian

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Physical review. D/Physical review. D.
Black Holes and Theoretical Physics
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article

Strings near black holes are Carrollian

Jelle Hartong, Emil Have, Kedar S. Kolekar, Aritra Banerjee, Arjun Bagchi, Mangesh Mandlik
article en
16 citations

Abstract

We demonstrate that strings near the horizon of a Schwarzschild black hole, when viewed by a stationary observer at infinity, probe a string Carroll geometry, where the effective light speed is given by the distance from the horizon. We expand the Polyakov action in powers of this light speed to find a theory of Carrollian strings. We show that the string shrinks to a point to leading order near the horizon, which follows a null geodesic in a two-dimensional Rindler space. At the next-to-leading order the string oscillates in the embedding fields associated with the near-horizon two-sphere. Published by the American Physical Society 2024

Physical review. D/Physical review. D.Vol. 110(8)
Indian Institute of Technology Dhanbad (IN), Maxwell Institute for Mathematical Sciences (GB), Birla Institute of Technology and Science, Pilani (IN), Indian Institute of Technology Kanpur (IN), University of Edinburgh (GB), Tsinghua University (CN)
Villum Fonden, Royal Society, University of Edinburgh, Science and Engineering Research Board, Program on Open Innovation Platform with Enterprises, Research Institute and Academia
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Openalex Percentile: Top 1%
Black Holes and Theoretical Physics
10.55
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