# Anisotropic Tolman VII solution by gravitational decoupling

## TL;DR

This paper constructs an anisotropic extension of the Tolman VII solution using gravitational decoupling, providing an exact, physically acceptable model for compact objects with differing radial and tangential pressures.

## Contribution

It introduces a novel anisotropic Tolman VII solution via gravitational decoupling, expanding the modeling of compact objects with anisotropic pressures.

## Key findings

- Effective density and perfect fluid density are explicitly compared.
- Radial and tangential pressures differ, indicating anisotropy.
- Anisotropy depends on the coupling constant.

## Abstract

Using the gravitational decoupling by the minimal geometric deformation approach, we build an anisotropic version of the well-known Tolman VII solution, determining an exact and physically acceptable interior two-fluid solution that can represent behavior of compact objects. Comparison of the effective density and density of the perfect fluid is demonstrated explicitly. We show that the radial and tangential pressure are different in magnitude giving thus the anisotropy of the modified Tolman VII solution. The dependence of the anisotropy on the coupling constant is also shown.