According to the version of the Big Bang Theory without a Cosmological Constant (and without Dark Energy of any kind), what would be the maximum possible age of the universe in Gyr (Gigayears, meaning billions of years) if the Hubble Constant had the following values? Another way of asking the question would be: What is the Hubble Time in Gyr, given the following values of H0? H0 = 50 km/s/Mpc H0 = 75 km/s/Mpc H0 = 100 km/s/Mpc answer to two significant figures.
According to the version of the Big Bang Theory without a Cosmological Constant (and without Dark Energy of any kind), what would be the maximum possible age of the universe in Gyr (Gigayears, meaning billions of years) if the Hubble Constant had the following values? Another way of asking the question would be: What is the Hubble Time in Gyr, given the following values of H0?
H0 = 50 km/s/Mpc
H0 = 75 km/s/Mpc
H0 = 100 km/s/Mpc
answer to two significant figures.
Hubble's Law states that as the universe is expanding in all directions, the receding velocity of an object from an observer is directly proportional to the distance between them, i.e.
Where H0 is the Hubble constant.
Now since the universe is expanding its possible to backtrack to a time when every thing closer to each other, assuming the expansion rate had been constant throughout the age of universe, then the the diameter of the universe will be v times the age of universe, or mathematically
Plugging (2) in (1) gives,
Equation (3) is a remarkable result as one can determine the age of universe using an Hubble's constant.
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