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Light Propagation in a Spherically Symmetric Dust

We studied the energy shift of photons which are propagating through the Tolman spacetime embedded in the Friedmann universe. We derived the exact photon energy shift formua for the Tolman spacetime. Considering the Tolman spacetime as a single spherically symmetric perturbed structure whose center is located between the last scattering surface and an observation point, we calculated an approximate expression of the CMBR uctuation T=T up to the rst order of 0 and juj. We found that, depending of the exponents of the proole of density contrast, there are redshifts where the total energy shift is vanished and these redshifts are also dependent on the cosmological density parameter.