OK here is the answer in standard math notation.
Note the physical speed of light actually measured in the accelerating LNIF is not the same as the formal coordinate speed of light. The physical speed of light is invariant only for those restricted physically relevant general coordinate transformations in which Ray Chiao's gravimagnetic 3-vector potential stays zero before and after the frame transformation. When the gravimagnetic potential is not zero there are generally two distinct physical speeds of light. Also, time contraction opposite to time dilation may be possible - but I am not sure of that. There is also, it seems, the possibility of slowing the physical speed of light to zero and also getting an imaginary speed of light - again I am not sure of that as yet.
See pdf posted today in Library Resources for the equations.