Brentley Powell - Black Hole Physics


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Fundamentals


What is a Black Hole?
In our universe, matter behaves according to four fundamental forces of nature: Electromagnetism, the Strong Nuclear Force, the Weak Nuclear Force, and Gravity. When matter or energy occupies a region of space, its interaction changes the local curvature of space-time itself. When matter moves through space, it accelerates according to the curvature of the space which it occupies. All forms of energy bend space-time. Since gravity is an extremely weak force, the weakest of the fundamental forces, it takes a large amount of mass to create a significant gravitational field. 


Gravitational fields relate to negative curvature.
(from http://abyss.uoregon.edu/~js/cosmo/lectures/lec15.html)



A black hole is merely such a region of space-time with a gravitational pull so great that its escape velocity is greater than the speed of light. So, no form of matter or energy can escape its boundary under classical conditions. The boundary of a black hole is called the event horizon. This is because information about events which occur 'within' a black hole is hidden to the outside.


This penrose diagram illustrates the inescapability of the event horizon with a 2d light cone.
(from https://jila.colorado.edu/~ajsh/insidebh/penrose.html)

         The term 'black hole,'  was coined by the renowned physicist John Wheeler for its perfect absorbsion of light. However the description of black holes as infinite, single-directional wells is partly inaccurate. Gravitational fields of General Relativity are not the only physical differentials which apply to black holes. Quantum Mechanics and Thermodynamics are also necessarily involved in forming a more complete picture of black holes which has been developing steadily for many decades.




How are Black Holes formed?
         Black holes typically form under the collapse of dying stars. The end of a star's life is largely determined by its mass and chemistry. Our sun will radiate its outerlayer as a red giant and become a white dwarf. The sun will not quickly run out of fuel. Stars of more than roughly 8 solar masses may burn through their nuclear fuel. When the series of high-energy, high pressure nuclear fusion reactions within a large star ends with the fusion of Iron in the center of the star, low outward pressures cannot overcome the gravitational pull of the star. This results in a catastrophic collapse, followed by an astronomically energetic supernova explosion. The collapsed cores of stars less than 25 solar masses typically form neutron stars with the density of atomic nuclei. Though there is an upper limit in terms of mass, larger supernovae cores collapse into black holes.


The event horizon grows from the star's center of mass while the star collapses into a singularity.
(from https://arxiv.org/pdf/1604.00405.pdf)