The time-proportional Schwarzschild radius
and Hawking temperature of black holes have been successfully ascribed to this model universe.
As the size of a black hole defined by the Schwarzschild radius
relates to its mass, it's only by acquiring more mass that a supermassive black hole will grow larger, as a greater mass means spacetime is curved over a larger area.
According to the Schwarzschild field solution of (1) , the metric of spacetime surrounding a spherical body with mass M appears to be singular at the Schwarzschild radius
As smaller and smaller radii were considered, a radius was reached, now known as the Schwarzschild radius
, where the equations revealed something called a singularity--mathematically the sort of thing you get if you divide by zero.
The Schwarzschild Radius
is available in both print and ebook formats.
The point at which a stellar object can no longer escape being swallowed by a black hole is known as the Schwarzschild radius
, a quantity whose value depends on the black hole's mass, the speed of light and the gravitational constant.
If the 'engine' is a black hole accreting matter, its diameter must be less than the light-travel time across its Schwarzschild radius
If you plug in the equation above, you'll find that this black hole has a Schwarzschild radius
A black hole's Schwarzschild radius
tells how small an object of mass M must be for its surface gravity to be strong enough to trap light.
A constitutive observation of the respective models is the coincidence between the radius of observable universe and the Schwarzschild radius
, supposed to be valid over the whole course of the universe's history.
The non-reduced Plank units and the Schwarzschild radius
will be useful to the discussion.
This conforms to the Newtonian acceleration of a Planck mass from a distance matching its Schwarzschild radius