In today's lecture we are going to provide an overview of the history of the expanding universe, with a look to the supporting evidence for the Big Bang theory and a short discussion of the cosmological principle.
Once you're settled down we can begin.
calculations of the age of the universe itself come from the value of the Hubble constant, being 67.4 Kms/MPc to an error of only plus or minus 0.5 kms/MPc. Calculating this value required a vast amount of work done in distance calculation of specific notable astronomical objects, using the cosmic distance ladder. These include, but are not limited to type 1a supernovae, cepheid variables and spiral arm galaxies. Each has an intrinsic brightness which can be calculated according to other properties. The cepheid variables essentially acts like a metronome based on its luminosity, brightening and dimming according to the mass of the star, rising up and down in a periodic fashion allowing calculation of its distance. Spiral arm galaxies work in a similar way. Galaxy rotation curves, as well as providing evidence for the existence of dark matter have a period relating to their intrinsic luminosity according to the Tully-Fischer relation. This will all be covered in later lectures.
Once a distance had been established, the redshift of notable absorption lines in the stars or novae, most often the Balmer series, were used to give a value for the Hubble constant. The reciprocal of this giving an estimate for the age of the universe, being 13.8 billion years.
To begin with, as I'm sure most of you are aware the universe was a singularity, not dissimilar to a black hole. More accurately one might describe it as a white hole, a structure, as postulated by Einstein and Rosen in response to Swartzchild's original solution to the field equations, which mathematically was shown to be a time-reversed black hole. That structure is entirely theoretical and realistically relativity can't take us back before the Planck epoch. What we can theorise however, is that energy and matter at the beginning must have been evenly distributed.
Activity in that point of infinite density must have effectively been a constant, which would quickly change as expansion began.