# New general relativity

## Abstract

A gravitational theory is formulated on the Weitzenboeck space-time, characterized by the vanishing curvature tensor (absolute parallelism) and by the torsion tensor formed of four parallel vector fields. This theory is called new general relativity, since Einstein in 1928 first gave its original form. New general relativity has three parameters c/sub 1/, c/sub 2/, and lambda, besides the Einstein constant kappa. In this paper we choose c/sub 1/ = 0 = c/sub 2/, leaving open lambda. We prove, among other things, that (i) a static, spherically symmetric gravitational field is given by the Schwarzschild metric, that (ii) in the weak-field approximation an antisymmetric field of zero mass and zero spin exists, besides gravitons, and that (iii) new general relativity agrees with all the experiments so far carried out.

- Authors:

- Publication Date:

- Research Org.:
- Institute of Physics, University of Tokyo (Komaba) Tokyo, Japan

- OSTI Identifier:
- 6149661

- Resource Type:
- Journal Article

- Journal Name:
- Phys. Rev., D; (United States)

- Additional Journal Information:
- Journal Volume: 19:12

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GENERAL RELATIVITY THEORY; SPACE-TIME; GRAVITATIONAL FIELDS; GRAVITONS; RIEMANN SPACE; SCHWARZSCHILD METRIC; TENSOR FORCES; VECTOR FIELDS; ELEMENTARY PARTICLES; FIELD THEORIES; GRAVITATIONAL RADIATION; MASSLESS PARTICLES; MATHEMATICAL SPACE; METRICS; POSTULATED PARTICLES; RADIATIONS; SPACE; 645400* - High Energy Physics- Field Theory; 657003 - Theoretical & Mathematical Physics- Relativity & Gravitation

### Citation Formats

```
Hayashi, K., and Shirafuji, T.
```*New general relativity*. United States: N. p., 1979.
Web. doi:10.1103/PhysRevD.19.3524.

```
Hayashi, K., & Shirafuji, T.
```*New general relativity*. United States. doi:10.1103/PhysRevD.19.3524.

```
Hayashi, K., and Shirafuji, T. Fri .
"New general relativity". United States. doi:10.1103/PhysRevD.19.3524.
```

```
@article{osti_6149661,
```

title = {New general relativity},

author = {Hayashi, K. and Shirafuji, T.},

abstractNote = {A gravitational theory is formulated on the Weitzenboeck space-time, characterized by the vanishing curvature tensor (absolute parallelism) and by the torsion tensor formed of four parallel vector fields. This theory is called new general relativity, since Einstein in 1928 first gave its original form. New general relativity has three parameters c/sub 1/, c/sub 2/, and lambda, besides the Einstein constant kappa. In this paper we choose c/sub 1/ = 0 = c/sub 2/, leaving open lambda. We prove, among other things, that (i) a static, spherically symmetric gravitational field is given by the Schwarzschild metric, that (ii) in the weak-field approximation an antisymmetric field of zero mass and zero spin exists, besides gravitons, and that (iii) new general relativity agrees with all the experiments so far carried out.},

doi = {10.1103/PhysRevD.19.3524},

journal = {Phys. Rev., D; (United States)},

number = ,

volume = 19:12,

place = {United States},

year = {1979},

month = {6}

}