*On the General Solution to Einstein's Vacuum Field for the Point-Mass when lambda ???0 and Its Consequences for Relativistic Cosmology*

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Scientific Paper | |
---|---|

Title | On the General Solution to Einstein\'s Vacuum Field for the Point-Mass when lambda ???0 and Its Consequences for Relativistic Cosmology |

Author(s) | Stephen John Crothers |

Keywords | Einstein's Vacuum Field, Point-Mass, Relativistic Cosmology |

Published | 2005 |

Journal | Progress In Physics |

Volume | 3 |

Pages | 7-18 |

## Abstract

It is generally alleged that Einstein?fs theory leads to a finite but unbounded universe. This allegation stems from an incorrect analysis of the metric for the point-mass when ?? <> 0. The standard analysis has incorrectly assumed that the variable *r* denotes a radius in the gravitational field. Since *r* is in fact nothing more than a real-valued parameter for the actual radial quantities in the gravitational field, the standard interpretation is erroneous. Moreover, the true radial quantities lead inescapably to ??=0 so that, cosmologically, Einstein?fs theory predicts an infinite, static, empty universe