Multisoliton solutions to Einstein's equations

Mathematics – Logic

Scientific paper

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Exact Solutions, Nonlinear Or Nonlocal Theories And Models

Scientific paper

We discuss a multisoliton solution to Einstein's equations in vacuum. The solution is interpreted as many gravitational solitons propagating and colliding on a homogeneous cosmological background. Following a previous letter, we characterize the solitons by their localizability and by their peculiar properties under collisions. Furthermore, we define an associated frame-dependent velocity field which illustrates the solitonic character of these gravitational solitons in the classical sense.

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