# Electromagnetic mass models in general relativity

## Abstract

The metric coefficients g/sub 00/ and g/sub 11/ of both the Schwarzschild and Reissner-Nordstroem metrics satisfy the relation g/sub 00/g/sub 11/ = -1. A coordinate-independent statement of this relation using the eigenvalues of the Einstein tensor is given. By considering the relation between the metric coefficients to be valid inside a charged perfect-fluid distribution, it is shown that the mass-energy density and the pressure of the distribution are of electromagnetic origin. In the absence of charge, however, there exists no interior solution. A particular solution which confirms the same and matches smoothly with the exterior Reissner-Nordstroem metric is obtained. This solution represents a charged particle whose mass is entirely of electromagnetic origin.

- Authors:

- Publication Date:

- Research Org.:
- Department of Mathematics, Indian Institute of Technology, Kharagpur-721302, West Bengal, India

- OSTI Identifier:
- 6649357

- Alternate Identifier(s):
- OSTI ID: 6649357

- Resource Type:
- Journal Article

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

- Additional Journal Information:
- Journal Volume: 30:2

- 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; ELECTROMAGNETIC FIELDS; CHARGE DENSITY; CHARGED PARTICLES; EIGENVALUES; EINSTEIN FIELD EQUATIONS; ENERGY-MOMENTUM TENSOR; SCHWARZSCHILD METRIC; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; METRICS; TENSORS 645400* -- High Energy Physics-- Field Theory; 657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation

### Citation Formats

```
Tiwari, R.N., Rao, J.R., and Kanakamedala, R.R.
```*Electromagnetic mass models in general relativity*. United States: N. p., 1984.
Web. doi:10.1103/PhysRevD.30.489.

```
Tiwari, R.N., Rao, J.R., & Kanakamedala, R.R.
```*Electromagnetic mass models in general relativity*. United States. doi:10.1103/PhysRevD.30.489.

```
Tiwari, R.N., Rao, J.R., and Kanakamedala, R.R. Sun .
"Electromagnetic mass models in general relativity". United States. doi:10.1103/PhysRevD.30.489.
```

```
@article{osti_6649357,
```

title = {Electromagnetic mass models in general relativity},

author = {Tiwari, R.N. and Rao, J.R. and Kanakamedala, R.R.},

abstractNote = {The metric coefficients g/sub 00/ and g/sub 11/ of both the Schwarzschild and Reissner-Nordstroem metrics satisfy the relation g/sub 00/g/sub 11/ = -1. A coordinate-independent statement of this relation using the eigenvalues of the Einstein tensor is given. By considering the relation between the metric coefficients to be valid inside a charged perfect-fluid distribution, it is shown that the mass-energy density and the pressure of the distribution are of electromagnetic origin. In the absence of charge, however, there exists no interior solution. A particular solution which confirms the same and matches smoothly with the exterior Reissner-Nordstroem metric is obtained. This solution represents a charged particle whose mass is entirely of electromagnetic origin.},

doi = {10.1103/PhysRevD.30.489},

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

number = ,

volume = 30:2,

place = {United States},

year = {1984},

month = {7}

}