Published May 1990
| Version v1
Journal article
General relativity theory (GRT) in hypercomplex number formalism
Description
It is shown that hypercomplex numbers in curved space can be expanded in the 16-element Dirac algebra. The gravitational fields in this case is described by the Lame coefficients. The external Schwarzschild problem is solved in quaternions as an example. The geodesics equation transforms into the covariant constancy condition for the Dirac matrices
Additional details
Additional titles
- Original title (Russian)
- Общая теория относительности (OTO) в формализме гиперкомплексной системы чисел
Publishing Information
- Journal Title
- Izvestiya Vysshikh Uchebnykh Zavedenij, Fizika
- Journal Volume
- 33
- Journal Issue
- 5
- Series
- Izv. Vyssh. Uchebn. Zaved., Fiz.
- Journal Page Range
- 18-23
- ISSN
- 0021-3411
- CODEN
- IVUFA
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- USSR
- INIS RN
- 22069998
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DIRAC OPERATORS; EINSTEIN FIELD EQUATIONS; ENERGY-MOMENTUM TENSOR; GENERAL RELATIVITY THEORY; GEODESICS; GRAVITATIONAL FIELDS; SCHWARZSCHILD METRIC
- Descriptors DEC
- EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; MATHEMATICAL OPERATORS; METRICS; QUANTUM OPERATORS; TENSORS