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Tensor-Multi-Scalar Gravity: Equations of Motion to 2.5 post-Newtonian Order
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In the present paper we take a step towards the generalization of the post-Newtonian formalism to tensor-multi-scalar theories. These are theories where we have more than one scalar field being mediators of the gravitational interaction in addition to the spacetime metric. They are very natural extensions of Einstein's gravity allowing for the existence of new classes of compact objects and offering interesting phenomenology reaching far beyond the single scalar field theories. We calculate the expansion up to 2.5 post-Newtonian order in the near zone using the so-called direct integration of the relaxed Einstein equations formalism and derive the equation of motion. This work is the first step towards the calculation of gravitational waveforms in tensor-multi-scalar theories.
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Cited by 2 Pith papers
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Quasi-Keplerian parametrization for compact binaries on hyperbolic orbits in scalar-tensor theories at second post-Newtonian order
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Classical Black Hole Scattering to Celestial Amplitudes in Effective Theories of Gravity
A doctoral thesis reproduces the author's published post-Newtonian and post-Minkowskian two-body observables and celestial amplitudes in scalar-tensor, Chern-Simons, Einstein-Maxwell-dilaton, and quadratic gravity.
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