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Buchdahl limit and TOV equations in interacting vacuum scenarios.

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Title: Buchdahl limit and TOV equations in interacting vacuum scenarios.
Authors: Maier, Rodrigo1 (AUTHOR) rodrigo.maier@uerj.br
Source: European Physical Journal C -- Particles & Fields. May2026, Vol. 86 Issue 5, p1-8. 8p.
Subjects: Compact objects (Astronomy), Vacuum energy (Astronomy), Stability theory, General relativity (Physics)
Abstract: We investigate the stability of ultra-compact stellar configurations in the context of an interacting vacuum component. By extending the Tolman-Oppenheimer-Volkoff equations to include a covariant energy exchange between the fluid and vacuum sectors, we examine how the classical Buchdahl stability limit is modified. We analyze two phenomenological interaction models: a coupling to the matter energy density gradient and a direct coupling to the spacetime curvature. Numerical integration reveals that while standard General Relativity predicts a central pressure divergence as the compactness approaches the Buchdahl threshold, the interaction term Q ν relaxes the pressure gradient and maintains a finite, well-behaved central pressure for proper domains of the coupling parameter. These results demonstrate that an interacting vacuum provides a physical mechanism to bypass classical geometric bounds, potentially supporting ultra-compact objects in regimes previously considered singular. [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: Buchdahl limit and TOV equations in interacting vacuum scenarios.
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  Data: <searchLink fieldCode="AR" term="%22Maier%2C+Rodrigo%22">Maier, Rodrigo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> rodrigo.maier@uerj.br</i>
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  Data: <searchLink fieldCode="DE" term="%22Compact+objects+%28Astronomy%29%22">Compact objects (Astronomy)</searchLink><br /><searchLink fieldCode="DE" term="%22Vacuum+energy+%28Astronomy%29%22">Vacuum energy (Astronomy)</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+theory%22">Stability theory</searchLink><br /><searchLink fieldCode="DE" term="%22General+relativity+%28Physics%29%22">General relativity (Physics)</searchLink>
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  Data: We investigate the stability of ultra-compact stellar configurations in the context of an interacting vacuum component. By extending the Tolman-Oppenheimer-Volkoff equations to include a covariant energy exchange between the fluid and vacuum sectors, we examine how the classical Buchdahl stability limit is modified. We analyze two phenomenological interaction models: a coupling to the matter energy density gradient and a direct coupling to the spacetime curvature. Numerical integration reveals that while standard General Relativity predicts a central pressure divergence as the compactness approaches the Buchdahl threshold, the interaction term Q ν relaxes the pressure gradient and maintains a finite, well-behaved central pressure for proper domains of the coupling parameter. These results demonstrate that an interacting vacuum provides a physical mechanism to bypass classical geometric bounds, potentially supporting ultra-compact objects in regimes previously considered singular. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  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/s10052-026-15784-z
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      – SubjectFull: Vacuum energy (Astronomy)
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      – SubjectFull: Stability theory
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      – TitleFull: Buchdahl limit and TOV equations in interacting vacuum scenarios.
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              Text: May2026
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              Y: 2026
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