There are three known types of redshifts, - Doppler redshift, gravitational redshift and cosmological redshift.
The corresponding formulas for this redshift are –
- Z = {λ(obs)-λ(rest)}/λ(rest) ;
- Z = Δλ/λ₀ and also
- Z = Δλ/λ₀,
Where,
- Z denotes the redshift factor which represents the fractional change in wavelength;
- λ(obs) represents the observed wavelength of light;
- λ(rest) represents the rest wavelength of light;
- Δλ is the change in wavelength of light as observed;
- λ₀ is the wavelength at the source
We know that gravity interacts with matter and energy. However infinitely small, gravity also interacts with electromagnetism. We also know that the rest energy of matter is affected by gravity; Mechanical stress causes deformation (strain) of matter due to gravitational force. Gravitational forces cause changes in the electromagnetic field of piezoelectric crystals. Electromagnetic fields carry energy, momentum and stresses. A photon expends energy to leave the gravitational well. Gravitational lensing bends the path of light under the influence of gravity.
We also know, the wavelength (λ) of a wave is directly proportional to the time period (T) of the wave (λ∝T), and energy of the wave (E) is directly proportional to the frequency of the wave (E∝f). The time interval for 1° of phase is inversely proportional to the frequency (f). If the frequency of a signal is given by f, then the time t (deg), in seconds, corresponding to 1° of phase is t (deg) = 1/(360f) = t/360.
The following wave figure-1 represents the corresponding change in frequency energy due to the phase shift of the wave, corresponding to respective wavelength distortions of oscillation.
Conclusion: