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Non-singular solutions to Einstein-Klein-Gordon equations with a phantom scalar field

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arxiv 0805.3211 v3 pith:4XGF5IDA submitted 2008-05-21 gr-qc

classification gr-qc
keywords solutionsfieldscalareinstein-klein-gordonequationsnon-singularphantomspherically
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It is shown that the 4D Einstein-Klein-Gordon equations with a phantom scalar field (a scalar field with a negative sign in front of the kinetic energy term of its Lagrange density) has non-singular, spherically symmetry solutions. These solutions have a combination of features found in other spherically symmetric gravity plus field solutions. A stability analysis on these solutions indicates they are unstable.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 48 citations worldwide. Full citation record

  1. Shadow of the Scalar Hairy Black Hole with Inverted Higgs Potential

    gr-qc 2025-01 unverdicted novelty 4.0 of 10

    Hairy black hole shadows and disks grow with horizon scalar value but can mimic Schwarzschild by adjusting horizon radius, with the potential parameter Lambda constrained by supermassive black hole observations.

  2. Traversable Wormholes with Spontaneous Symmetry Breaking

    gr-qc 2024-11 reject novelty 3.0 of 10

    The paper constructs phantom-scalar wormhole metrics and reverse-engineers a symmetry-breaking potential, but the solution does not satisfy the stated field equations for generic parameters and the photon-sphere radiu...

  3. Dynamical Boson Stars

    gr-qc 2012-02 unverdicted novelty 2.0 of 10

    Boson stars are particle-like solutions in general relativity that model dark matter, black hole mimickers, and binary systems.

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