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http://www.physlink.com/Education/AskExperts/ae13.cfm
"So, it is absolutely true that the speed of light is not constant in
a gravitational field [which, by the equivalence principle, applies as
well to accelerating (non-inertial) frames of reference]. If this were
not so, there would be no bending of light by the gravitational field
of stars....Indeed, this is exactly how Einstein did the calculation
in: 'On the Influence of Gravitation on the Propagation of Light,'
Annalen der Physik, 35, 1911. which predated the full formal
development of general relativity by about four years. This paper is
widely available in English. You can find a copy beginning on page 99
of the Dover book 'The Principle of Relativity.' You will find in
section 3 of that paper, Einstein's derivation of the (variable) speed
of light in a gravitational potential, eqn (3). The result is,
c' = c0 ( 1 + V / c^2 )
where V is the gravitational potential relative to the point where the
speed of light c0 is measured."

THEOREM 1: The speed of light obeys the equation c'=c(1+V/c^2) if and
only if, in the absence of a gravitational field, it obeys the
equation c'=c+v where v is the speed of the emitter relative to the
observer.

Both equations belong to Newton's emission theory of light and
contradict Einstein's 1905 light postulate:

http://www.fourmilab.ch/etexts/einstein/specrel/www/ "...light is
always propagated in empty space with a definite velocity c which is
independent of the state of motion of the emitting body."

THEOREM 2 (The Redshift Law): If the assumption that the wavelength of
light varies with the speed of the observer is absurd, then the
following unversal equation holds:

f'/f = c'/c

where f' is the shifted frequency of light (at the moment of
reception), f is the original frequency (at the moment of emission),
c' is the speed of light relative to the observer (at the moment of
reception), c is the speed of light relative to the emitter (at the
moment of emission).

Pentcho Valev
pvalev@yahoo.com