1995/12/01 by A. N. Aliev, A N Aliev, Y. Nutku +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.1088/0264-9381/12/12/009
An expanded version of paper published in Classical and Quantum Gravity 12 (1995) 2913
openalex publication_date 1995/12/01 · arxiv created 1998/12/28 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
In the framework of real two-component spinors in three-dimensional spacetime we present a description of topologically massive gravity (TMG) in terms of differential forms with triad scalar coefficients. This is essentially a real version of the Newman - Penrose formalism in general relativity. A triad formulation of TMG was considered earlier by Hall, Morgan and Perjes, however, due to an unfortunate choice of signature some of the spinors underlying the Hall - Morgan - Perjes formalism are real, while others are pure imaginary. We obtain the basic geometrical identities as well as the TMG field equations including a cosmological constant for the appropriate signature. As an application of this formalism we discuss the Bianchi type VIII - IX exact solutions of TMG and point out that they are parallelizable manifolds.