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Light propagation in 2PN approximation in the field of one moving monopole I. Initial value problem

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In this investigation the light propagation in the gravitational field of one arbitrarily moving body with monopole structure is considered in the second post-Newtonian approximation. It is found that the… Click to show full abstract

In this investigation the light propagation in the gravitational field of one arbitrarily moving body with monopole structure is considered in the second post-Newtonian approximation. It is found that the light trajectory depends on the acceleration of the body. Some of these acceleration terms are important in order to get well-defined logarithmic functions with dimensionless arguments, while all the other acceleration terms are negligible on the pico-second level of accuracy in time-delay measurements. The expressions of the observables total light deflection and time delay are determined.

Keywords: light propagation; propagation 2pn; field one; approximation

Journal Title: Classical and Quantum Gravity
Year Published: 2018

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