- #1
redtree
- 285
- 13
I am trying to find a derivation of gravitational redshift from a static metric that does not depend on the equivalence principle and is not a heuristic Newtonian derivation. Any suggestions?
Ibix said:Determine the time
You are.redtree said:Given that time and frequency are Fourier conjugates, how can changes in proper time relate directly to changes in frequency (as measured by redshift)? Or am I imposing a quantum perspective on a non-quantum theory?
Gravitational redshift is the phenomenon in which light appears to have longer wavelengths when observed from a region with a strong gravitational field, compared to when it is observed from a region with a weaker gravitational field.
The derivation of gravitational redshift involves using Einstein's general theory of relativity to calculate the change in frequency and wavelength of light as it travels through a strong gravitational field. This is achieved by solving the equations for the static metric, which describes the curvature of spacetime in the presence of a massive object.
Gravitational redshift is important because it provides evidence for the effects of gravity on light, confirming the predictions of general relativity. It also has practical applications, such as in the precise measurement of time and in the functioning of GPS systems.
Gravitational redshift is the result of light traveling through a strong gravitational field, causing its wavelength to appear longer. Doppler shift, on the other hand, is the result of relative motion between the source of light and the observer, causing a shift in the wavelength of light due to the Doppler effect.
Yes, gravitational redshift can be observed in everyday life. For example, the redshift of light from stars near the horizon of a black hole has been observed, as well as the slight redshift of light on Earth due to the Earth's gravitational field. However, these effects are very small and require precise measurements to be detected.