Spherically symmetric collapse of an anisotropic fluid body into an exotic black hole.

Mathematics – Mathematical Physics

Scientific paper

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Black Holes: Gravitation Theory

Scientific paper

The classical gravitational equations of Einstein are investigated for an anisotropic fluid body in the case of spherical symmetry. An equation of state is imposed. The junction conditions of Synge (1960) are required to be satisfied on the boundary of the fluid body. A class of exact, analytical solutions depending on four parameters is obtained. The solutions satisfy the equation of state and the weak energy conditions prior to the collapse of the boundary inside the event horizon. However, in the interior of the event horizon, the matter undergoes a transition into an exotic state. A portion of the fluid turns tachyonic, a second portion has complex eigenvalues for, and a third part has signature +4.

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