Home | Relativistische Vielweltentheorie |

Beispiel: Einbeziehung nichtmetrischer Größen | Lovelock-Tensoren |

Einige Variationsergebnisse | Einige Lösungen |

vielweltentheorie.pdf | Sonstiges |

In the following are coordinates, the metric tensor, and the curvature tensor. The following tensors are called Lovelock-tensors:

(1) |

These tensors are divergence-free, so that these tensors represents conserved quantities. With these tensors it is possible to set up relativistic field equations of gravitation:

(2) |

On the condition, that , we get a field equation, which is many-worlds-suitable:

(3) |

This many-worlds-suitability is possible under the condition, that the metric tensor can be divided at least into two subareas, so that and is, with . Whereby the indices are simple primed for the one subarea, and are double primed for the other subarea. With this we get from the field-equation (3):

(4) |

There are solutions for the field equation (3) which are singularity-free, and contains the Schwarzschild-metric as a borderline case. See for this: Einige Lösungen (Some solutions)