Universal relations of anisotropic dark energy stars and gravitational-wave constraints.

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Title: Universal relations of anisotropic dark energy stars and gravitational-wave constraints.
Authors: Jyothilakshmi, O. P.1 (AUTHOR) op_jyothilakshmi@cb.students.amrita.edu, Sreekanth, V.1 (AUTHOR) v_sreekanth@cb.amrita.edu
Source: European Physical Journal C -- Particles & Fields. Dec2025, Vol. 85 Issue 12, p1-14. 14p.
Subjects: Gravitational waves, Compact objects (Astronomy), Equations of state, Variable stars, Astrophysics
Abstract: We investigate, for the first time, universal relations for anisotropic dark energy stars. The stars are modeled with the modified Chaplygin equation of state and the Bowers–Liang prescription for anisotropy, and their global properties and f-mode frequencies are computed using the modified relativistic Hartle–Thorne slow rotation and Cowling approximations. We find that relations among moment of inertia, tidal deformability, quadrupole moment and f-mode frequency exhibit universality, with deviations limited to ∼ 1 - 10 % , in close agreement with other compact star models. Using tidal deformability constraints from GW170817 and GW190814, we obtain astrophysical limits on canonical properties of dark energy stars. For positive anisotropy strength, the radius of a 1.4 M ⊙ star is constrained to R 1.4 = 8. 93 1.40 1.88 km (GW170817) and 10. 92 - 0.54 + 0.71 km (GW190814), consistent with observational bounds. The corresponding f-mode frequencies are constrained to 3. 257 - 0.537 + 0.450 kHz and 2. 692 - 0.157 + 0.137 kHz. Further, applying Pearson correlation analysis for the first time to anisotropic compact stars, we obtained the coefficients between various stellar attributes of dark energy stars and we show that the Chaplygin parameter B correlates strongly with the f-mode frequency, with positive anisotropy strengthening while negative anisotropy weakening the correlation strength. These results establish that universal relations extend to anisotropic dark energy stars and can be directly tested with present and future gravitational-wave observations [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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  Data: Universal relations of anisotropic dark energy stars and gravitational-wave constraints.
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  Data: <searchLink fieldCode="AR" term="%22Jyothilakshmi%2C+O%2E+P%2E%22">Jyothilakshmi, O. P.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> op_jyothilakshmi@cb.students.amrita.edu</i><br /><searchLink fieldCode="AR" term="%22Sreekanth%2C+V%2E%22">Sreekanth, V.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> v_sreekanth@cb.amrita.edu</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>. Dec2025, Vol. 85 Issue 12, p1-14. 14p.
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  Data: <searchLink fieldCode="DE" term="%22Gravitational+waves%22">Gravitational waves</searchLink><br /><searchLink fieldCode="DE" term="%22Compact+objects+%28Astronomy%29%22">Compact objects (Astronomy)</searchLink><br /><searchLink fieldCode="DE" term="%22Equations+of+state%22">Equations of state</searchLink><br /><searchLink fieldCode="DE" term="%22Variable+stars%22">Variable stars</searchLink><br /><searchLink fieldCode="DE" term="%22Astrophysics%22">Astrophysics</searchLink>
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  Data: We investigate, for the first time, universal relations for anisotropic dark energy stars. The stars are modeled with the modified Chaplygin equation of state and the Bowers–Liang prescription for anisotropy, and their global properties and f-mode frequencies are computed using the modified relativistic Hartle–Thorne slow rotation and Cowling approximations. We find that relations among moment of inertia, tidal deformability, quadrupole moment and f-mode frequency exhibit universality, with deviations limited to ∼ 1 - 10 % , in close agreement with other compact star models. Using tidal deformability constraints from GW170817 and GW190814, we obtain astrophysical limits on canonical properties of dark energy stars. For positive anisotropy strength, the radius of a 1.4 M ⊙ star is constrained to R 1.4 = 8. 93 1.40 1.88 km (GW170817) and 10. 92 - 0.54 + 0.71 km (GW190814), consistent with observational bounds. The corresponding f-mode frequencies are constrained to 3. 257 - 0.537 + 0.450 kHz and 2. 692 - 0.157 + 0.137 kHz. Further, applying Pearson correlation analysis for the first time to anisotropic compact stars, we obtained the coefficients between various stellar attributes of dark energy stars and we show that the Chaplygin parameter B correlates strongly with the f-mode frequency, with positive anisotropy strengthening while negative anisotropy weakening the correlation strength. These results establish that universal relations extend to anisotropic dark energy stars and can be directly tested with present and future gravitational-wave observations [ABSTRACT FROM AUTHOR]
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  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/s10052-025-15211-9
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        Text: English
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      – SubjectFull: Gravitational waves
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      – SubjectFull: Compact objects (Astronomy)
        Type: general
      – SubjectFull: Equations of state
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      – SubjectFull: Variable stars
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              M: 12
              Text: Dec2025
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              Y: 2025
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