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Gravitational Redshift

Gravitational redshift is the process by which electromagnetic radiation originating from a source that is in a gravitational field is reduced in frequency, or redshifted, when observed in a region at a higher gravitational potential.

The redshift decreases with the square root of the reciprocal of the mass of the body. Increasing the radius has the opposite effect.

Formula

1 + QuantityVariable["z", "Unitless"] == Sqrt[(1 + (Quantity[-2, "GravitationalConstant"/"SpeedOfLight"^2]*QuantityVariable["m", "Mass"])/QuantityVariable["R", "Radius"])^(-1)]

symbol description physical quantity
z redshift "Unitless"
m mass "Mass"
R radius "Radius"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Gravitational Redshift"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Gravitational Redshift"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Gravitational Redshift"], {QuantityVariable["m","Mass"] -> Quantity[1.9891`*^30, "Kilograms"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1916

Publisher Information