- #1
johne1618
- 368
- 0
If the universe is all there is then it can't be radiating light to anywhere else. Thus light must be trapped inside it like light is trapped inside a black hole.
If we carry this analogy further then maybe the size and mass of the universe is given by the expression for the Schwarzschild radius of a black hole:
2 * G * M / R = c^2
where M is the mass of the universe and R is the size of the universe.
If you put this expression into the Friedmann equations for the universe, together with the assumption of a flat spacetime, you find:
R = c * t
where R is the size of the universe and t is the age of the universe.
Also one finds a dark energy term such the the density (rho) of dark energy is given by:
rho = (1 / 8 pi G) * 1 / t^2.
This model gives the present density of dark energy rho_0 as
rho_0 = H_0^2 / 8 pi G
Putting in the present Hubble constant H_0 one finds a value of rho_0 which is a few proton masses per m^3.
If we carry this analogy further then maybe the size and mass of the universe is given by the expression for the Schwarzschild radius of a black hole:
2 * G * M / R = c^2
where M is the mass of the universe and R is the size of the universe.
If you put this expression into the Friedmann equations for the universe, together with the assumption of a flat spacetime, you find:
R = c * t
where R is the size of the universe and t is the age of the universe.
Also one finds a dark energy term such the the density (rho) of dark energy is given by:
rho = (1 / 8 pi G) * 1 / t^2.
This model gives the present density of dark energy rho_0 as
rho_0 = H_0^2 / 8 pi G
Putting in the present Hubble constant H_0 one finds a value of rho_0 which is a few proton masses per m^3.
