General solutions of Einstein gravity at D→2

Einstein gravity at D → 2 limit can be obtained from the Kaluza–Klein procedure by taking the dimensions of the internal space to zero while keeping only the breathing mode. The resulting scalar–tensor theory can be further reduced to JT gravity or the Liouville CFT at the large central charge limit...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2023-03, Vol.83 (3), p.210
Main Authors: Mao, Qi-Yuan, Lü, H.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Black holes
Cosmological constant
Elementary Particles
Gravity
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
Tensors
Two dimensional models
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Summary:Einstein gravity at D → 2 limit can be obtained from the Kaluza–Klein procedure by taking the dimensions of the internal space to zero while keeping only the breathing mode. The resulting scalar–tensor theory can be further reduced to JT gravity or the Liouville CFT at the large central charge limit, bridging the two important 2d models. We construct the general solutions of the theory, including black holes and wormholes for both positive and negative cosmological constants. We obtain the on-shell action of the nearly AdS 2 and show that for suitable boundary slices, the Schwarzian action governs the leading-order dynamics at the finite boundary cutoff in later time. For positive cosmological constant, we find that the scalar is well defined on the 2-sphere.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-023-11372-7