Abstract
The problem of gravitation near the Schwarzschild radius is addressed. The pressure due to free fall velocity is introduced. At the Schwarz-schild radius, this pressure produces the force balancing the gravity thus stopping the collapse of the matter. The minimum radius of the source of gravity is defined as a radius at which the proton reaches the Planck energy. The compact object as a thin shell at the minimum radius is considered. The proton is assumed to decay at the Planck scale into positron and hypothetical Planck neutrinos. Under accretion onto the compact object, half the protons decay, and the other protons retain at the minimum radius. Â
Highlights
According to general relativity (Misner et al 1973), a body contracted to the Schwarzschild radius, rg = 2GM / c2, forms a black hole bounded by the so called event horizon
We have addressed the problem of gravitation near the Schwarzschild radius
We have shown that the matter, along with the gravitation, creates the pressure, we call it free fall pressure
Summary
The core of the gravastar with a negative pressure produces the repulsive force which stops the collapsing matter at the radius close to the Schwarzschild radius. To this end, several solutions to avoid the development of black hole event horizon within the classical theories have been discussed, e.g. Half the accreting protons decay at the Planck scale, and the other accreting protons retain at the gravastar. We shall consider the model of the compact object near the Schwarzschild radius. We shall consider the role of the decay of the protons in the formation of the compact object
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