- #1
Zman
- 96
- 0
I would like to know if I have understood the following or not;
There are two time dilation equations that I am using;
One from special relativity, involving the Lorentz factor;
[tex]t = \frac{t_0}{\sqrt{1 - v^2/c^2}}[/tex]
And one from general relativity, the Schwarzschild metric;
[tex]t = t_f{\sqrt{1 - 2GM/rc^2}[/tex]
In the SR scenario, to is the observer's clock and t is the moving body’s clock.
As v gets bigger (approaches c), t becomes bigger.
But as this indicates time dilation t’ and to must represent time spans.
In the GR scenario, as a small body approaches a large body, the small body’s clock dilates. The reference clock in this case is at infinity and is represented by the symbol tf. This clock is analogous to the observer’s clock in the SR scenario.
But as r gets smaller t gets smaller, so in this case it is dealing with ‘relative Time Flow’ as opposed to ‘relative Time Span’.
Where Time Span = 1/ Time Flow
Does this sound right?
There are two time dilation equations that I am using;
One from special relativity, involving the Lorentz factor;
[tex]t = \frac{t_0}{\sqrt{1 - v^2/c^2}}[/tex]
And one from general relativity, the Schwarzschild metric;
[tex]t = t_f{\sqrt{1 - 2GM/rc^2}[/tex]
In the SR scenario, to is the observer's clock and t is the moving body’s clock.
As v gets bigger (approaches c), t becomes bigger.
But as this indicates time dilation t’ and to must represent time spans.
In the GR scenario, as a small body approaches a large body, the small body’s clock dilates. The reference clock in this case is at infinity and is represented by the symbol tf. This clock is analogous to the observer’s clock in the SR scenario.
But as r gets smaller t gets smaller, so in this case it is dealing with ‘relative Time Flow’ as opposed to ‘relative Time Span’.
Where Time Span = 1/ Time Flow
Does this sound right?