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Scalar mesostatic field with regard for gravitational effects

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

(Foreword by translator.) The aim of present translation is to clarify the historically important question who was the pioneer in obtaining of exact static solutions of Einstein equations minimally coupled with scalar field. Usually, people cite the works by Janis, Newman, Winicour (Phys. Rev. Lett. 20 (1968) 878) and others authors whereas it is clear that JNW rediscovered (in other coordinates) the Fisher's solution which was obtained 20 years before, in 1947. Regrettably, up to now I continue to meet many papers (even very fresh ones) whose authors evidently do not know about the Fisher's work, so I try to remove this gap by virtue of present translation and putting it into the LANL e-print archive. (Original Abstract.) It is considered the scalar mesostatic field of a point source with the regard for spacetime curvature caused by this field. For the field with $\mass = 0$ the exact solution of Einstein equations was obtained. It was demonstrated that at small distance from a source the gravitational effects are so large that they cause the significant changes in behavior of meson field. In particular, the total energy of static field diverges logarithmically.

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gr-qc 2 hep-th 1

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2026 3

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representative citing papers

Weyl-type solutions with multipolar scalar fields

gr-qc · 2026-04-10 · unverdicted · novelty 6.0

New exact solutions to d-dimensional Einstein-scalar gravity are generated in Weyl form that incorporate multipolar scalars and magnetic fields, with limits matching scalar versions of Schwarzschild-Melvin and Fisher-Janis-Newman-Winicour spacetimes.

Magnetized dynamical black holes

gr-qc · 2026-01-13 · unverdicted · novelty 6.0

A novel exact solution describes a dynamical black hole dressed with a time-dependent scalar field and immersed in an axisymmetric time-dependent electromagnetic field, where time dependence may cloak curvature singularities.

citing papers explorer

Showing 3 of 3 citing papers.

  • Weyl-type solutions with multipolar scalar fields gr-qc · 2026-04-10 · unverdicted · none · ref 14 · internal anchor

    New exact solutions to d-dimensional Einstein-scalar gravity are generated in Weyl form that incorporate multipolar scalars and magnetic fields, with limits matching scalar versions of Schwarzschild-Melvin and Fisher-Janis-Newman-Winicour spacetimes.

  • Magnetized dynamical black holes gr-qc · 2026-01-13 · unverdicted · none · ref 36 · internal anchor

    A novel exact solution describes a dynamical black hole dressed with a time-dependent scalar field and immersed in an axisymmetric time-dependent electromagnetic field, where time dependence may cloak curvature singularities.

  • Exact Four-Parameter Rotating NS--NS Vacuum in Double Field Theory hep-th · 2026-06-08 · unreviewed · ref 18 · internal anchor