### Abstract

We discuss how to construct the full Schwarzschild (KruskalSzekeres) spacetime in one swoop by using the bundle of orthonormal Lorentz frames and the Einstein equation without the use of coordinates. We never have to write down the Kruskal-Szekeres or an equivalent form of the metric.

Original language | English (US) |
---|---|

Pages (from-to) | 457-500 |

Number of pages | 44 |

Journal | Pure and Applied Mathematics Quarterly |

Volume | 6 |

Issue number | 2 |

State | Published - Apr 2010 |

### Fingerprint

### Keywords

- Frame bundles
- General relativity
- Global geometry
- Gravitation
- Schwarzschild solution

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Pure and Applied Mathematics Quarterly*,

*6*(2), 457-500.

**Schwarzschild spacetime without coordinates.** / Alvarez, Orlando.

Research output: Contribution to journal › Article

*Pure and Applied Mathematics Quarterly*, vol. 6, no. 2, pp. 457-500.

}

TY - JOUR

T1 - Schwarzschild spacetime without coordinates

AU - Alvarez, Orlando

PY - 2010/4

Y1 - 2010/4

N2 - We discuss how to construct the full Schwarzschild (KruskalSzekeres) spacetime in one swoop by using the bundle of orthonormal Lorentz frames and the Einstein equation without the use of coordinates. We never have to write down the Kruskal-Szekeres or an equivalent form of the metric.

AB - We discuss how to construct the full Schwarzschild (KruskalSzekeres) spacetime in one swoop by using the bundle of orthonormal Lorentz frames and the Einstein equation without the use of coordinates. We never have to write down the Kruskal-Szekeres or an equivalent form of the metric.

KW - Frame bundles

KW - General relativity

KW - Global geometry

KW - Gravitation

KW - Schwarzschild solution

UR - http://www.scopus.com/inward/record.url?scp=79951980369&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79951980369&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:79951980369

VL - 6

SP - 457

EP - 500

JO - Pure and Applied Mathematics Quarterly

JF - Pure and Applied Mathematics Quarterly

SN - 1558-8599

IS - 2

ER -