fältekvationerna

Fältekvationerna, also known as field equations, are a set of equations central to Albert Einstein's general theory of relativity. These equations describe the fundamental interaction of gravitation as a result of the curvature of spacetime caused by mass and energy. In essence, they relate the geometry of spacetime to the distribution of matter and energy within it.

The equations can be expressed in a compact tensor form. One side of the equation represents the Einstein tensor, which describes the curvature of spacetime, and the other side represents the stress-energy tensor, which describes the distribution of mass, energy, and momentum. The equations mathematically state that mass and energy tell spacetime how to curve, and spacetime tells mass and energy how to move.

The fältekvationerna have been incredibly successful in explaining a wide range of gravitational phenomena, including the orbit of Mercury, the bending of light by massive objects, and the existence of gravitational waves, which were directly detected in 2015. They form the mathematical foundation for our modern understanding of gravity and the large-scale structure of the universe, impacting cosmology and astrophysics significantly.