Abstract
We demonstrate—and this is one of the main results of this book—that there are primordial wormholes whose ‘traversability time’, though small, is macroscopic.
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Notes
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As a next step it would be natural to consider a rotating wormhole, see [85].
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Solutions corresponding to \(m_0\leqslant 0\) exist, but they have a completely different structure and will not be considered here.
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A detailed discussion of how Schwarzschild space looks in different coordinates can be found, for example, in [135].
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Since the metric is given, we shall not pedantically distinguish co- and contravariant vectors.
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They are different points, nevertheless, because they lie in different spacetimes.
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Consider, for example, the surface \(t=x +\Delta \) in Minkowski plane. Is the distance from the origin of the coordinates to that surface large or small? Apparently, neither: \(\Delta \) can be made arbitrary merely by a coordinate transformation \(t'= t\mathrm{ch}\gamma + x\mathrm{sh}\gamma \), \(x'= t\mathrm{sh}\gamma + x\mathrm{ch}\gamma \) with a suitable \(\gamma \).
- 8.
Note, though, that owing to Lorentz contraction \({\mathscr {T}}_\text {L}^\text {trav}\) is larger for an observer moving towards the wormhole [100].
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Krasnikov, S.V. (2018). Primordial Wormhole. In: Back-in-Time and Faster-than-Light Travel in General Relativity. Fundamental Theories of Physics, vol 193. Springer, Cham. https://doi.org/10.1007/978-3-319-72754-7_9
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DOI: https://doi.org/10.1007/978-3-319-72754-7_9
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