Solution of Einstein Field Equations for Anisotropic Matter with Vanishing Complexity: Spacetime Metric Satisfying Karmarkar Condition and Conformally Flat Geometry

The solution of Einstein field equations for static spherically symmetric spacetime metric with anisotropic internal stresses has been obtained. The matter has vanishing complexity and a spacetime metric that satisfies the Karmarkar condition and is conformally flat. It has been noted that there is...

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Main Authors: Ratanpal, B. S, Suthar, Bhavesh, Shah, Vishant
Format: Journal Article
Language:English
Published: 11-11-2024
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Abstract The solution of Einstein field equations for static spherically symmetric spacetime metric with anisotropic internal stresses has been obtained. The matter has vanishing complexity and a spacetime metric that satisfies the Karmarkar condition and is conformally flat. It has been noted that there is only one solution that meets these three conditions. This has been shown as a proof of the theorem.
AbstractList The solution of Einstein field equations for static spherically symmetric spacetime metric with anisotropic internal stresses has been obtained. The matter has vanishing complexity and a spacetime metric that satisfies the Karmarkar condition and is conformally flat. It has been noted that there is only one solution that meets these three conditions. This has been shown as a proof of the theorem.
Author Ratanpal, B. S
Suthar, Bhavesh
Shah, Vishant
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  fullname: Suthar, Bhavesh
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  givenname: Vishant
  surname: Shah
  fullname: Shah, Vishant
BackLink https://doi.org/10.48550/arXiv.2411.06988$$DView paper in arXiv
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Snippet The solution of Einstein field equations for static spherically symmetric spacetime metric with anisotropic internal stresses has been obtained. The matter has...
SourceID arxiv
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SubjectTerms Physics - General Relativity and Quantum Cosmology
Title Solution of Einstein Field Equations for Anisotropic Matter with Vanishing Complexity: Spacetime Metric Satisfying Karmarkar Condition and Conformally Flat Geometry
URI https://arxiv.org/abs/2411.06988
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