A simple protocol to construct solutions with vanishing complexity by Gravitational Decoupling
E. Contreras, Z. Stuchlik

TL;DR
This paper introduces a straightforward protocol for constructing interior solutions with zero complexity in gravitational systems using the Gravitational Decoupling method extended by Minimal Geometric Deformation, demonstrated with Tolman solutions.
Contribution
It presents a novel, simple protocol to generate zero-complexity solutions in gravitational decoupling frameworks, extending existing methods with practical examples.
Findings
Successfully constructed zero-complexity solutions using Tolman models
Demonstrated the effectiveness of the protocol in gravitational decoupling
Extended the Minimal Geometric Deformation approach for vanishing complexity
Abstract
In this work we develop a simple protocol to construct interior solutions through Gravitational Decoupling by the Minimal Geometric Deformation extended satisfying the vanishing complexity condition. The method is illustrated by using Tolman VII and Tolman IV solutions as isotropic seeds.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Quantum chaos and dynamical systems
