A new family of analytical anisotropic solutions by gravitational decoupling

Abstract

This work is focused in the study of analytic anisotropic solutions to Einstein's field equations, describing spherically symmetric and static configurations by way of the gravitational decoupling through the method of Minimal Geometric Deformation (MGD). For this we apply MGD to Heintzmann's solution obtaining two new analytic and well behaved anisotropic solutions, in which all their parameters such as the effective density, the effective radial and tangential pressure, as well as radial and tangential sound speed, fulfill each of the requirements for the physical acceptability available in the literature.

References in corpus (22)

• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• Physical Acceptability of Isolated, Static, Spherically Symmetric, Perfect Fluid Solutions of Einstein's Equations
• Anisotropic Stars in General Relativity
• Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids
• All static spherically symmetric anisotropic solutions of Einstein's equations
• Anisotropic solutions by gravitational decoupling
• Stars in the braneworld
• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• Gravitational decoupled anisotropies in compact stars
• Tolman IV solution in the Randall-Sundrum Braneworld
• The Minimal Geometric Deformation Approach Extended
• Anisotropic models for compact stars
• Generalized model for anisotropic compact stars
• Brane-world stars with solid crust and vacuum exterior
• Analytical study of anisotropic compact star models
• Classical Tests of General Relativity: Brane-World Sun from Minimal Geometric Deformation
• Causality and the speed of sound
• A new class of relativistic model of compact stars of embedding class I
• Extending the geometric deformation: New black hole solutions
• Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: An algorithm
• Braneworld Stars: Anisotropy Minimally Projected Onto the Brane
• A new algorithm for anisotropic solutions

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• Decoupled Anisotropic Buchdahl's Relativistic Models in $f(\mathbb{R},\mathbb{T})$ Theory
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• Extended Black Hole Solutions in Self-interacting Brans-Dicke Theory
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• Stellar modeling via the Tolman IV solution: The cases of the massive pulsar J0740+6620 and the HESS J1731-347 compact object
• A way of decoupling the gravitational bulk field equations of regular braneworld black holes to suppress the bulk singularities
• Energy transfer between the sources in gravitational decoupling
• Generating anisotropic models for relativistic stellar objects
• Braneworld-Klein-Gordon system in the framework of gravitational decoupling
• Radial oscillations of quark stars in light of current astrophysical constraints: A comparative study