# Strings next to and inside black holes

## Abstract

The classical string equations of motion and constraints are solved near the horizon and near the singularity of a Schwarzschild black hole. In a conformal gauge such that {tau}=0 ({tau}=world sheet time coordinate) corresponds to the horizon ({ital r}=1) or to the black hole singularity ({ital r}=0), the string coordinates express in power series in {tau} near the horizon and in power series in {tau}{sup 1/5} around {ital r}=0. We compute the string invariant size and the string energy-momentum tensor. Near the horizon both are finite and analytic. Near the black hole singularity, the string size, the string energy, and the transverse pressures (in the angular directions) tend to infinity as {ital r}{sup {minus}1}. To leading order near {ital r}=0, the string behaves as two-dimensional radiation. These two spatial dimensions are describing the {ital S}{sup 2} sphere in the Schwarzschild manifold. {copyright} {ital 1996 The American Physical Society.}

- Authors:

- Laboratoire de Physique Theorique et Hautes Energies, Universites Paris VI-VII - Laboratoire associe au CNRS No. 280, Tour 16, 1er. et., 4, Place Jussieu, 75252 Paris Cedex 05 (France)
- Fisika Teorikoaren Saila, Euskal Herriko Unibertsitatea, 644 P.K. - 48080 Bilbao (Spain)

- Publication Date:

- OSTI Identifier:
- 279523

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, D

- Additional Journal Information:
- Journal Volume: 53; Journal Issue: 6; Other Information: PBD: Mar 1996

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 66 PHYSICS; BLACK HOLES; STRING MODELS; EQUATIONS OF MOTION; LIMITING VALUES; SINGULARITY; ENERGY-MOMENTUM TENSOR; SIZE; ENERGY; RADIATIONS; SCHWARZSCHILD METRIC

### Citation Formats

```
de Vega, H.J., and Egusquiza, I.L.
```*Strings next to and inside black holes*. United States: N. p., 1996.
Web. doi:10.1103/PhysRevD.53.3296.

```
de Vega, H.J., & Egusquiza, I.L.
```*Strings next to and inside black holes*. United States. doi:10.1103/PhysRevD.53.3296.

```
de Vega, H.J., and Egusquiza, I.L. Fri .
"Strings next to and inside black holes". United States. doi:10.1103/PhysRevD.53.3296.
```

```
@article{osti_279523,
```

title = {Strings next to and inside black holes},

author = {de Vega, H.J. and Egusquiza, I.L.},

abstractNote = {The classical string equations of motion and constraints are solved near the horizon and near the singularity of a Schwarzschild black hole. In a conformal gauge such that {tau}=0 ({tau}=world sheet time coordinate) corresponds to the horizon ({ital r}=1) or to the black hole singularity ({ital r}=0), the string coordinates express in power series in {tau} near the horizon and in power series in {tau}{sup 1/5} around {ital r}=0. We compute the string invariant size and the string energy-momentum tensor. Near the horizon both are finite and analytic. Near the black hole singularity, the string size, the string energy, and the transverse pressures (in the angular directions) tend to infinity as {ital r}{sup {minus}1}. To leading order near {ital r}=0, the string behaves as two-dimensional radiation. These two spatial dimensions are describing the {ital S}{sup 2} sphere in the Schwarzschild manifold. {copyright} {ital 1996 The American Physical Society.}},

doi = {10.1103/PhysRevD.53.3296},

journal = {Physical Review, D},

number = 6,

volume = 53,

place = {United States},

year = {1996},

month = {3}

}