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PDF Black Hole Math

4 avr 2013 · Amazingly enough many aspects of black holes can be understood by using simple algebra and pre-algebra mathematical skills This booklet fills 

PDF Estimating the Size and Mass of a Black Hole

4 avr 2023 · The radius of a black hole is related to its mass by the simple formula R = black holes that do not rotate called 'Schwarschild Black Holes' 

  • What is a black hole mathematically?

    “Black holes are mathematical solutions to the Einstein equation,” Giorgi says — the “master equation” that is the basis of the general theory of relativity.
    She and other mathematicians seek to prove theorems about these solutions and otherwise probe the math of general relativity.

  • What is the formula for the area of a black hole?

    The surface area, A g = 4 π R g 2 , of a Schwarzschild black hole determines its entropy, S = A g c 3 / 4 G ħ ≈ A g / A p l , where A p l is the Planck area: the entropy is the number of Planck areas in the horizon area.

  • What is the equation of a black hole horizon?

    The equation for the Schwartzchild radius looks like this Rs = 2GM/c².
    That equation implies that the size of the event horizon depends on the black hole's mass.
    The larger the mass the further out from the central singularity the event horizon will be.

  • The radius and mass of a black hole are related by R h = 2 G M h / c 2 , where c is the speed of light.
    Assume that the gravitational acceleration of an object at a distance r o = 1.001 R h from the center of a black hole id given by Eq. 13-11 (it is, for large black holes). (a) In terms of , find or .

If you consider a spherical object of mass M and radius R and set the escape velocity from the object to be c c c, the speed of light, you can determine a relationship between R and M, R = 2 G M / c 2 R=2 GM/c^2 R=2GM/c2, where G G G is Newton's gravitational constant.
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