
How does time bend around massive objects?
How does time bend around massive objects?
Imagine you're standing on Earth, watching a satellite orbit. You notice time seems to tick slightly differently compared to someone far away on Earth. Why might this be?
Mass, like Earth, can bend spacetime, altering how time flows. This bending is what makes satellite clocks tick differently from ours on Earth.
Example
A satellite's clock runs faster by about 38 microseconds compared to clocks on Earth due to Earth's gravity bending spacetime.
Remember this
Mass curves spacetime, changing time's flow around massive objects.
Text adapted from Wikipedia, licensed under CC BY-SA 4.0.
Derivation of the Schwarzschild solution
Schwarzschild solution describes spacetime around a massive, non-rotating spherical mass
Kerr metric
Kerr metric describes rotating black hole spacetime
Gravitational lensing formalism
Light bends around massive objects due to spacetime curvature
Schwarzschild metric
Schwarzschild radius at r=2GM/c² marks the event horizon
Schwarzschild radius
How can you compress mass to light speed escape?
Riemannian geometry
Riemannian geometry is essential for understanding curved spacetime
Swipe through 100 ML concepts daily
Open Pocket Polymath