Take the A-Metric : Interpretations of Some Known Solutions of Einstein’s Vacuum Field Equations
Robson, Charles W.; Ornigotti, Marco (2022-03)
Robson, Charles W.
Ornigotti, Marco
03 / 2022
183
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi:tuni-202204083120
https://urn.fi/URN:NBN:fi:tuni-202204083120
Kuvaus
Peer reviewed
Tiivistelmä
In this work, we present a new interpretation of the only static vacuum solution of Einstein’s field equations with planar symmetry, the Taub solution. This solution is a member of the AIII class of metrics, along with the type D Kasner solution. Various interpretations of these solutions have been put forward previously in the literature, however, some of these interpretations have suspect features and are not generally considered physical. Using a simple mathematical analysis, we show that a novel interpretation of the Taub solution is possible and that it naturally emerges from the radial, near-singularity limit of negative-mass Schwarzschild spacetime. A new, more transparent derivation is also given, showing that the type D Kasner metric can be interpreted as a region of spacetime deep within a positive-mass Schwarzschild black hole. The dual nature of this class of A-metrics is thereby demonstrated.
Kokoelmat
- TUNICRIS-julkaisut [19020]