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A theorem on topologically massive gravity

1996/03/01 by A. N. Aliev, Alikram N. Aliev, Y. Nutku · 29 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Combinatorics #Computer science #Cosmology and Gravitation Theories #Field (mathematics) #Field equation #Gravitation #Hypersurface #Killing vector field #Massive gravity #Mathematical physics #Mathematics #Mechanics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Space (punctuation) #Spin (aerodynamics) #Theoretical physics #Topology (electrical circuits) #Vector field #gr-qc

paper · pdf · doi:10.1088/0264-9381/13/3/001

published in Classical and Quantum Gravity 13(3), L29-L32 (IOP Publishing) · published in Classical and Quantum Gravity 13 (1996) L29

openalex publication_date 1996/03/01 · arxiv created 1998/12/28 · arxiv updated 2010/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that for three dimensional spacetimes admitting a hypersurface orthogonal Killing vector field, Deser, Jackiw and Templeton's vacuum field equations of topologically massive gravity allow only the trivial flat spacetime solution. Thus spin is necessary to support topological mass.

Citations

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