Boundary conditions at past null infinity for zero-rest-mass fields including gravitation

Physics

Scientific paper

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Boundary Conditions, Boundary Value Problems, Electromagnetic Fields, Field Theory (Physics), Gravitational Fields, Radiation Distribution, Infinity, Relativity, Space-Time Functions, Spin, Stress Tensors

Scientific paper

Boundary conditions at past null infinity are formulated for scalar and electromagnetic fields in flat space-time, and for the gravitational field in General Relativity, which ensure absence of incoming radiation. Restrictions on the behavior of sources in the infinite past, which are required in order to guarantee that retarded solutions for bounded sources in flat-spacetime obey these radiation conditions, are discussed. Finally, some difficulties concerned with these conditions in the gravitational case are pointed out.

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