In the Standard Model of the Expansion of the Universe,the $\rho _ { c } = \frac { H ^ { 2 } } { 8 \pi G }$

question 20

Multiple Choice

In the standard model of the expansion of the universe,the total energy of a standard mass m is assumed to be zero.When we solve the resulting energy equation for the critical mass density of the universe,we find that the critical mass density is given by

• A) \(\rho _ { c } = \frac { H ^ { 2 } } { 8 \pi G }\) .
• B) \(\rho _ { c } = \frac { 3 H ^ { 2 } } { 8 \pi G }\) .
• C) \(\rho _ { c } = \frac { 3 H ^ { 2 } } { 2 \pi G }\) .
• D) \(\rho _ { c } = \frac { 3 H ^ { 2 } } { \pi G }\) .
• E) \(\rho _ { c } = \frac { 3 H ^ { 2 } } { G }\) .

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