S | = |
k_{B} * A ------- 4 * L_{p} |
(equation 1) |
ds^{2} = |
┌ 1 0 0 ┐ │ 0 1 0 │ └ 0 0 1 ┘ |
┌ x ┐ │ y │ └ z ┘ |
┌ x ┐ │ y │ └ z ┘ |
= |
┌ 1x+0y+0z ┐ │ 0x+1y+0z │ └ 0x+0y+1z ┘ |
┌ x ┐ │ y │ └ z ┘ |
= |
┌ x ┐ │ y │ └ z ┘ |
┌ x ┐ │ y │ └ z ┘ |
= | x^{2} + y^{2} + z^{2} | (equation 6) | |
g_{μν = } |
┌ -(1-R/r).0.........0.............0 ┐ │ 0........1/(1-R/r).0.............0 │ │ 0........0.........r^{2}............0 │ └ 0........0.........0.....r^{2}sin^{2}(θ) ┘ |
S | = |
k_{B} * A ------- 4 * L_{p} |
S | = |
c^{3} * A --------- 4 * ħ * G |