# A method to compute l angle. phi. sup 2 r angle in asymptotically flat, static, spherically symmetric spacetimes

## Abstract

A method is presented which allows for the computation of {l angle}{phi}{sup 2}{r angle} for scalar fields at zero and nonzero temperatures in asymptotically flat, static, spherically symmetric spacetimes. If a spacetime has event horizons, the method works in the region exterior to the outermost event horizon. The method is used to compute {l angle}{phi}{sup 2}{r angle} for massless and massive scalar fields in Reissner-Nordstroem and extreme Reissner-Nordstroem spacetimes.

- Authors:

- (Physics Department, Montana State University, Bozeman, Montana 59717 (US))

- Publication Date:

- OSTI Identifier:
- 6995257

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, D (Particles Fields); (USA)

- Additional Journal Information:
- Journal Volume: 41:4; Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SCALAR FIELDS; SPACE-TIME; BLACK HOLES; EUCLIDEAN SPACE; GREEN FUNCTION; KERR METRIC; MASS; RENORMALIZATION; SCHWARZSCHILD METRIC; VACUUM POLARIZATION; FUNCTIONS; MATHEMATICAL SPACE; METRICS; RIEMANN SPACE; SPACE; 645400* - High Energy Physics- Field Theory

### Citation Formats

```
Anderson, P.R.
```*A method to compute l angle. phi. sup 2 r angle in asymptotically flat, static, spherically symmetric spacetimes*. United States: N. p., 1990.
Web. doi:10.1103/PhysRevD.41.1152.

```
Anderson, P.R.
```*A method to compute l angle. phi. sup 2 r angle in asymptotically flat, static, spherically symmetric spacetimes*. United States. doi:10.1103/PhysRevD.41.1152.

```
Anderson, P.R. Thu .
"A method to compute l angle. phi. sup 2 r angle in asymptotically flat, static, spherically symmetric spacetimes". United States. doi:10.1103/PhysRevD.41.1152.
```

```
@article{osti_6995257,
```

title = {A method to compute l angle. phi. sup 2 r angle in asymptotically flat, static, spherically symmetric spacetimes},

author = {Anderson, P.R.},

abstractNote = {A method is presented which allows for the computation of {l angle}{phi}{sup 2}{r angle} for scalar fields at zero and nonzero temperatures in asymptotically flat, static, spherically symmetric spacetimes. If a spacetime has event horizons, the method works in the region exterior to the outermost event horizon. The method is used to compute {l angle}{phi}{sup 2}{r angle} for massless and massive scalar fields in Reissner-Nordstroem and extreme Reissner-Nordstroem spacetimes.},

doi = {10.1103/PhysRevD.41.1152},

journal = {Physical Review, D (Particles Fields); (USA)},

issn = {0556-2821},

number = ,

volume = 41:4,

place = {United States},

year = {1990},

month = {2}

}

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