The D to 2 limit of general relativity

1992/08/13 by Robert B. Mann, R. B. Mann, Simon F. Ross +1 · 13 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Four-force #General relativity #Gravitation #Limit (mathematics) #Mathematical analysis #Mathematical physics #Physics #Relativity and Gravitational Theory #Theoretical physics #Theory of relativity #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/10/7/015

published as Class.Quant.Grav.10:1405-1408,1993 · 8 pgs

arxiv created 1992/08/13 · openalex publication_date 1993/07/01 · arxiv updated 2010/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A method for taking the D to 2 limit of D-dimensional general relativity is constructed, yielding a two-dimensional theory which couples gravitation to conserved stress-energy. The authors show how this theory is related to those obtained via an alternative dimensional reduction approach.

Citations

• Conservation laws and two-dimensional black holes in dilaton gravity
• Matching conditions and gravitational collapse in two-dimensional gravity
• String theory and black holes

Cited by

• Magnetic Reconnection and Energy Extraction from a Rotating Black Hole in a Four-dimensional Einstein-Gauss-Bonnet Gravity
• Observational constraints on the regularized 4D Einstein-Gauss-Bonnet theory of gravity
• Canonical reduction of two-dimensional gravity for particle dynamics
• Anisotropic stars in 4 D Einstein–Gauss–Bonnet gravity
• Strong gravitational lensing of a 4-dimensional Einstein–Gauss–Bonnet black hole in homogeneous plasma
• K-field kinks in two-dimensional dilaton gravity
• N-body gravity and the Schrödinger equation
• New types of thermodynamics from (1+1)-dimensional black holes
• Exact black hole and cosmological solutions in a two-dimensional dilaton-spectator theory of gravity
• Two-dimensional higher-derivative gravity and conformal transformations
• Lower-dimensional black hole chemistry
• Regular BTZ black holes from an infinite tower of corrections
• Singularity resolution and inflation from an infinite tower of regularized curvature corrections