RESTORATION OF THE COVARIANT GAUGE a IN THE INITIAL FIELD OF GRAVITY IN DE SITTER SPACETIME

Despite the fact that spacelike past infinity of de Sitter spacetime, the gravitational
perturbation in de Sitter spacetime was reproduced via covariant retarded Green's
function with covariant gauges /3 = 2/3 and a = 5/3 by taking into the account the
non-vanishing contribution of initial data at Cauchy surface for a stationary mass
particle M at the spatial origin moving along its geodesic that emanating from past
infinity [1].