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PENROSE HYPOTHESIS AND INSTABILITY OF NAKED SINGULARITIES IN STATIC SPHERICALLY SYMMETRIC SYSTEMS WITH SCALAR FIELDS.

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Title: PENROSE HYPOTHESIS AND INSTABILITY OF NAKED SINGULARITIES IN STATIC SPHERICALLY SYMMETRIC SYSTEMS WITH SCALAR FIELDS.
Alternate Title: ГІПОТЕЗА ПЕНРОУЗА ТА НЕСТІЙКІСТЬ ГОЛИХ СИНҐУЛЯРНОСТЕЙ У СТАТИчних СФЕРИЧНО-СИМЕТРИЧНИХ СИСТЕМАХ ЗІ СКАЛЯРНИМИ ПОлями.
Authors: Tugay, A. V.1, Zhdanov, V. I.1,2, Taistra, Yu. V.3,4
Source: Journal of Physical Studies. 2026, Vol. 30 Issue 1, p1-7. 7p.
Subjects: Scalar field theory, General relativity (Physics), Perturbation theory, Stability of linear systems
Abstract: General relativistic static spherically symmetric (SSS) asymptotically flat configurations with scalar fields typically contain naked singularities at the center. We examine minimally coupled scalar fields with power-law potentials leading to the Coulomb asymptotic of the field ϕ(r) ≈ Q/r for large values of the radial variable r. The configurations are uniquely defined by total mass and a Q-parameter characterizing the strength of the scalar field at spatial infinity. The focus is on the linear stability against radial (monopole) perturbations of the SSS configurations satisfying conditions of asymptotic flatness. Our numerical investigations show the existence of divergent modes of small perturbations against the static background, at least for sufficiently small values of Q. This means instability of the configurations, confirming the well-known Penrose conjecture about the nonexistence of naked singularities — in this particular case. On the other hand, we have not found divergent modes of linear radial perturbations for sufficiently large Q. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Physical Studies is the property of Journal of Physical Studies and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: PENROSE HYPOTHESIS AND INSTABILITY OF NAKED SINGULARITIES IN STATIC SPHERICALLY SYMMETRIC SYSTEMS WITH SCALAR FIELDS.
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  Data: ГІПОТЕЗА ПЕНРОУЗА ТА НЕСТІЙКІСТЬ ГОЛИХ СИНҐУЛЯРНОСТЕЙ У СТАТИчних СФЕРИЧНО-СИМЕТРИЧНИХ СИСТЕМАХ ЗІ СКАЛЯРНИМИ ПОлями.
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  Data: <searchLink fieldCode="AR" term="%22Tugay%2C+A%2E+V%2E%22">Tugay, A. V.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Zhdanov%2C+V%2E+I%2E%22">Zhdanov, V. I.</searchLink><relatesTo>1,2</relatesTo><br /><searchLink fieldCode="AR" term="%22Taistra%2C+Yu%2E+V%2E%22">Taistra, Yu. V.</searchLink><relatesTo>3,4</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Physical+Studies%22">Journal of Physical Studies</searchLink>. 2026, Vol. 30 Issue 1, p1-7. 7p.
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  Data: <searchLink fieldCode="DE" term="%22Scalar+field+theory%22">Scalar field theory</searchLink><br /><searchLink fieldCode="DE" term="%22General+relativity+%28Physics%29%22">General relativity (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Perturbation+theory%22">Perturbation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+of+linear+systems%22">Stability of linear systems</searchLink>
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  Label: Abstract
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  Data: General relativistic static spherically symmetric (SSS) asymptotically flat configurations with scalar fields typically contain naked singularities at the center. We examine minimally coupled scalar fields with power-law potentials leading to the Coulomb asymptotic of the field ϕ(r) ≈ Q/r for large values of the radial variable r. The configurations are uniquely defined by total mass and a Q-parameter characterizing the strength of the scalar field at spatial infinity. The focus is on the linear stability against radial (monopole) perturbations of the SSS configurations satisfying conditions of asymptotic flatness. Our numerical investigations show the existence of divergent modes of small perturbations against the static background, at least for sufficiently small values of Q. This means instability of the configurations, confirming the well-known Penrose conjecture about the nonexistence of naked singularities — in this particular case. On the other hand, we have not found divergent modes of linear radial perturbations for sufficiently large Q. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Journal of Physical Studies is the property of Journal of Physical Studies and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.30970/jps.30.1902
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        Text: English
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      – SubjectFull: Scalar field theory
        Type: general
      – SubjectFull: General relativity (Physics)
        Type: general
      – SubjectFull: Perturbation theory
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      – SubjectFull: Stability of linear systems
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      – TitleFull: PENROSE HYPOTHESIS AND INSTABILITY OF NAKED SINGULARITIES IN STATIC SPHERICALLY SYMMETRIC SYSTEMS WITH SCALAR FIELDS.
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              Text: 2026
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