Effects of Schwarzschild's Black Hole Singularities on Complex Scalar Field

Fuente: arXiv
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Hauptverfasser: Musielak, Z. E., Fry, J. L., Kanan, G. W.
Format: Preprint
Veröffentlicht: 2026
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author Musielak, Z. E.
Fry, J. L.
Kanan, G. W.
author_facet Musielak, Z. E.
Fry, J. L.
Kanan, G. W.
contents Complex scalar fields described by a novel Klein-Gordon equation derived from gauge and group theories are considered at the Schwarzschild's black hole singularities. It is shown that the field is well-behaved in the vicinity of these singularities and that its value reaches zero at both singularities. The obtained results also demonstrate that the field forms a scalar hair that exists outside of the event horizon, and that the interior field is tachyonic and undergoes a tachyonic condensation to reach its true vacuum at the central singularity. The described field's behavior is very different from that predicted by the Klein-Gordon equation minimally coupled to gravity. Physical implications of these results for the interior structure of black holes are discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2604_01246
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Effects of Schwarzschild's Black Hole Singularities on Complex Scalar Field
Musielak, Z. E.
Fry, J. L.
Kanan, G. W.
General Physics
Complex scalar fields described by a novel Klein-Gordon equation derived from gauge and group theories are considered at the Schwarzschild's black hole singularities. It is shown that the field is well-behaved in the vicinity of these singularities and that its value reaches zero at both singularities. The obtained results also demonstrate that the field forms a scalar hair that exists outside of the event horizon, and that the interior field is tachyonic and undergoes a tachyonic condensation to reach its true vacuum at the central singularity. The described field's behavior is very different from that predicted by the Klein-Gordon equation minimally coupled to gravity. Physical implications of these results for the interior structure of black holes are discussed.
title Effects of Schwarzschild's Black Hole Singularities on Complex Scalar Field
topic General Physics
url https://arxiv.org/abs/2604.01246