# Quantization of massive scalar fields over static black string backgrounds

## Abstract

The renormalized mean value of the corresponding components of the energy-momentum tensor for massive scalar fields coupled to an arbitrary gravitational field configuration having cylindrical symmetry are analytically evaluated using the Schwinger-DeWitt approximation, up to second order in the inverse mass value. The general results are employed to explicitly derive compact analytical expressions for the energy-momentum tensor in the particular background of the black-string space-time. In the case of the black string considered in this work, we prove that a violation of the weak energy condition occurs at the horizon of the space-time for values of the coupling constant, which include as particular cases the most interesting of minimal and conformal coupling.

- Authors:

- Departamento de Fisica y Quimica, Universidad de Cienfuegos, Carretera a Rodas, Cuatro Caminos, s/n. Cienfuegos (Cuba)
- (Cuba)

- Publication Date:

- OSTI Identifier:
- 20935281

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.107501; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; COUPLING CONSTANTS; ENERGY-MOMENTUM TENSOR; GRAVITATIONAL FIELDS; QUANTIZATION; SCALAR FIELDS; SCHWINGER VARIATIONAL METHOD; SPACE-TIME; STRING THEORY; SYMMETRY

### Citation Formats

```
Fernandez Piedra, Owen Pavel, Montes de Oca, Alejandro Cabo, and Grupo de Fisica Teorica, ICIMAF, Calle E, No. 309, entre 13 y 15, Vedado, Havana.
```*Quantization of massive scalar fields over static black string backgrounds*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.107501.

```
Fernandez Piedra, Owen Pavel, Montes de Oca, Alejandro Cabo, & Grupo de Fisica Teorica, ICIMAF, Calle E, No. 309, entre 13 y 15, Vedado, Havana.
```*Quantization of massive scalar fields over static black string backgrounds*. United States. doi:10.1103/PHYSREVD.75.107501.

```
Fernandez Piedra, Owen Pavel, Montes de Oca, Alejandro Cabo, and Grupo de Fisica Teorica, ICIMAF, Calle E, No. 309, entre 13 y 15, Vedado, Havana. Tue .
"Quantization of massive scalar fields over static black string backgrounds". United States.
doi:10.1103/PHYSREVD.75.107501.
```

```
@article{osti_20935281,
```

title = {Quantization of massive scalar fields over static black string backgrounds},

author = {Fernandez Piedra, Owen Pavel and Montes de Oca, Alejandro Cabo and Grupo de Fisica Teorica, ICIMAF, Calle E, No. 309, entre 13 y 15, Vedado, Havana},

abstractNote = {The renormalized mean value of the corresponding components of the energy-momentum tensor for massive scalar fields coupled to an arbitrary gravitational field configuration having cylindrical symmetry are analytically evaluated using the Schwinger-DeWitt approximation, up to second order in the inverse mass value. The general results are employed to explicitly derive compact analytical expressions for the energy-momentum tensor in the particular background of the black-string space-time. In the case of the black string considered in this work, we prove that a violation of the weak energy condition occurs at the horizon of the space-time for values of the coupling constant, which include as particular cases the most interesting of minimal and conformal coupling.},

doi = {10.1103/PHYSREVD.75.107501},

journal = {Physical Review. D, Particles Fields},

number = 10,

volume = 75,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}