The phenomenon where a field or entity influences itself, as spacetime curvature generates further curvature.Self-interaction is the phenomenon where a physical field or entity influences itself, rather than only being acted upon by external sources. In general relativity, this is most famously embodied by the fact that spacetime curvature itself carries energy and momentum, which in turn generates further curvature. This nonlinearity means that gravitational fields do not simply add up like independent waves; they interact with each other and with their own source, leading to effects that are absent in linear theories.
The concept of self-interaction in gravity is inherent in Einstein's general relativity, published in 1915. The nonlinear nature of the field equations was immediately recognized, though its full implications for gravitational waves and strong-field regimes were explored over subsequent decades.
In a linear theory, the field at a point is simply the sum of contributions from all sources, and the field does not affect its own propagation. In a self-interacting theory, the field's energy density acts as a new source for the field itself. For gravity, the energy of the gravitational field creates additional curvature, which then alters the path of the field itself. This feedback loop is what makes Einstein's equations nonlinear and leads to phenomena like the bending of light by its own energy, and the fact that a strong gravitational wave can act as a gravitational lens for itself.
Self-interaction is crucial in modeling the inspiral and merger of black holes and neutron stars, where the strong gravitational fields significantly alter the motion of the objects themselves, and in understanding the behavior of gravitational waves in the early universe.
In quantum field theory, self-interaction leads to the phenomenon of 'vacuum polarization,' where a particle's own field can create virtual particle-antiparticle pairs that screen or modify its charge.












