Orthogonal splitting of the Riemann curvature tensor and implications of resulting scalar(s) on compact stellar evolution

Q: What does this research mean for the field?

The complexity factor formalism reveals that the vanishing complexity condition is crucial for constructing physically stable anisotropic fluid solutions in charged stellar systems. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

Tayyab Naseer; M. Sharif; Javeria Javid; Kottakkaran Sooppy Nisar; Mohammed Zakarya

doi:10.1140/epjc/s10052-026-15462-0

March 11, 2026The European Physical Journal COpen Access

Orthogonal splitting of the Riemann curvature tensor and implications of resulting scalar(s) on compact stellar evolution

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Key Points

The study aims to analyze the behavior of charged fluid systems within a static spherical spacetime using the Riemann curvature tensor.
Employed complexity factor formalism
Calculated mass functions for anisotropic fluid
Obtained Einstein field equations
Applied conditions of zero complexity
Generated visual depictions from star data
Derived two independent solutions for mass functions
Demonstrated stable profiles for proposed models
Highlighted the importance of vanishing complexity condition
Showed that models maintain physical viability under electric charge conditions

Implication

This work examines the implications of curvature tensor splitting on stellar models, indicating new insights into compact star dynamics.

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Cite This Study

Naseer et al. (2026) studied this question.

synapsesocial.com/papers/69b4fbeab39f7826a300c613 https://doi.org/10.1140/epjc/s10052-026-15462-0

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Orthogonal splitting of the Riemann curvature tensor and implications of resulting scalar(s) on compact stellar evolution

Key Points

Implication

Abstract

Discussion

Cite This Study

Orthogonal splitting of the Riemann curvature tensor and implications of resulting scalar(s) on compact stellar evolution

Key Points

Implication

Abstract

Discussion

Cite This Study

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