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I try to find answer to quite basic question.
Let's imagine neutron star and object with mass of 1 kg located far from the neutron star. Total energy of the object is ##E = U_g + mc^2##, for case when its velocity is zero and and ##U_g## is potential energy of gravitation.
The neutron star have such mass and radius, what ##U_g =\frac{1}{10} mc^2 ##
The object failed to the star, energy was dissipated in the star, nothing emitted into space.
How mass of the star will be changed?
Will it be increased by 1 kg or by 1.1kg, from point of view of distant observer?
And how mass of the star will be changed if observer is located at surface of the star?
Is any easy way to find answer from GR equations?
Let's imagine neutron star and object with mass of 1 kg located far from the neutron star. Total energy of the object is ##E = U_g + mc^2##, for case when its velocity is zero and and ##U_g## is potential energy of gravitation.
The neutron star have such mass and radius, what ##U_g =\frac{1}{10} mc^2 ##
The object failed to the star, energy was dissipated in the star, nothing emitted into space.
How mass of the star will be changed?
Will it be increased by 1 kg or by 1.1kg, from point of view of distant observer?
And how mass of the star will be changed if observer is located at surface of the star?
Is any easy way to find answer from GR equations?