Geodesics and light deflection in Schwarzschild-like spacetime from cosmology-inspired modified gravity.

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Title: Geodesics and light deflection in Schwarzschild-like spacetime from cosmology-inspired modified gravity.
Authors: Pandey, Ritesh1 (AUTHOR) riteshphy0@gmail.com, Kala, Shubham2 (AUTHOR) shubhamkala871@gmail.com, Abebe, Amare1,3 (AUTHOR) amare.abebe@nithecs.ac.za, Nandan, Hemwati1,4 (AUTHOR) hnandan@associates.iucaa.in, Nashed, G.G.L.1,5 (AUTHOR) nashed@bue.edu.eg
Source: European Physical Journal C -- Particles & Fields. Feb2026, Vol. 86 Issue 2, p1-14. 14p.
Subjects: Geodesics, Deflection (Light), Schwarzschild metric, Physical cosmology, Gravitation, Gravitational lenses
Abstract: We investigate cosmology-driven modifications to Schwarzschild-like black hole spacetimes and analyze their impact on photon propagation, gravitational lensing, and shadow observation. The gravitational deflection angle is computed using the Rindler–Is-hak method, which incorporates finite-distance corrections and provides a consistent framework for non-asym-ptotically flat spacetimes. The effective potential for null geodesics exhibits a single unstable maximum corresponding to the photon sphere, and we study photon orbits classified according to the critical impact parameter into capture, escape, and unstable circular trajectories. Our analysis shows that the deflection angle decreases with increasing model parameter (α) , resulting in weaker light bending compared to the Schwarzschild case. In addition, we examine the angular diameter of the black hole shadow as measured by a static observer, highlighting its dependence on the cosmological modification parameters. These results suggest that high-precision astrometric and lensing observations can place meaningful constraints on cosmology-inspired modifications to gravity, thereby linking astrophysical black holes with cosmic expansion and offering a novel probe of gravitational physics in strong-field regimes. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature 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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  Label: Title
  Group: Ti
  Data: Geodesics and light deflection in Schwarzschild-like spacetime from cosmology-inspired modified gravity.
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  Label: Authors
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  Data: <searchLink fieldCode="AR" term="%22Pandey%2C+Ritesh%22">Pandey, Ritesh</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> riteshphy0@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Kala%2C+Shubham%22">Kala, Shubham</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> shubhamkala871@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Abebe%2C+Amare%22">Abebe, Amare</searchLink><relatesTo>1,3</relatesTo> (AUTHOR)<i> amare.abebe@nithecs.ac.za</i><br /><searchLink fieldCode="AR" term="%22Nandan%2C+Hemwati%22">Nandan, Hemwati</searchLink><relatesTo>1,4</relatesTo> (AUTHOR)<i> hnandan@associates.iucaa.in</i><br /><searchLink fieldCode="AR" term="%22Nashed%2C+G%2EG%2EL%2E%22">Nashed, G.G.L.</searchLink><relatesTo>1,5</relatesTo> (AUTHOR)<i> nashed@bue.edu.eg</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Feb2026, Vol. 86 Issue 2, p1-14. 14p.
– Name: Subject
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  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Geodesics%22">Geodesics</searchLink><br /><searchLink fieldCode="DE" term="%22Deflection+%28Light%29%22">Deflection (Light)</searchLink><br /><searchLink fieldCode="DE" term="%22Schwarzschild+metric%22">Schwarzschild metric</searchLink><br /><searchLink fieldCode="DE" term="%22Physical+cosmology%22">Physical cosmology</searchLink><br /><searchLink fieldCode="DE" term="%22Gravitation%22">Gravitation</searchLink><br /><searchLink fieldCode="DE" term="%22Gravitational+lenses%22">Gravitational lenses</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We investigate cosmology-driven modifications to Schwarzschild-like black hole spacetimes and analyze their impact on photon propagation, gravitational lensing, and shadow observation. The gravitational deflection angle is computed using the Rindler–Is-hak method, which incorporates finite-distance corrections and provides a consistent framework for non-asym-ptotically flat spacetimes. The effective potential for null geodesics exhibits a single unstable maximum corresponding to the photon sphere, and we study photon orbits classified according to the critical impact parameter into capture, escape, and unstable circular trajectories. Our analysis shows that the deflection angle decreases with increasing model parameter (α) , resulting in weaker light bending compared to the Schwarzschild case. In addition, we examine the angular diameter of the black hole shadow as measured by a static observer, highlighting its dependence on the cosmological modification parameters. These results suggest that high-precision astrometric and lensing observations can place meaningful constraints on cosmology-inspired modifications to gravity, thereby linking astrophysical black holes with cosmic expansion and offering a novel probe of gravitational physics in strong-field regimes. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature 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: 10.1140/epjc/s10052-026-15419-3
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        Text: English
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        PageCount: 14
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    Subjects:
      – SubjectFull: Geodesics
        Type: general
      – SubjectFull: Deflection (Light)
        Type: general
      – SubjectFull: Schwarzschild metric
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      – SubjectFull: Physical cosmology
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      – SubjectFull: Gravitation
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      – SubjectFull: Gravitational lenses
        Type: general
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      – TitleFull: Geodesics and light deflection in Schwarzschild-like spacetime from cosmology-inspired modified gravity.
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            NameFull: Pandey, Ritesh
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              Text: Feb2026
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              Y: 2026
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