General relativity gr also known as the general theory of relativity gtr is the geometric theory of gravitation published by albert einstein in 1915 and the current description of gravitation in modern physics. Einsteins field equation the einstein field equation or einstein equation is a dynamical equation which describes how matter and energy change the geometry of spacetime this curved geometry being interpreted as the gravitational field of the matter source. Einsteincartan theory differs from general relativity in two ways.
einstein's general theory of relativity equations
Also known as einsteins equations relate the geometry of space time with the distribution of matter within it.
Einsteins general theory of relativity equations. In it he determined that massive objects cause a distortion in. In 1915 einstein published a set of differential equations known as the einstein field equations. The motion of objects with a mass much smaller than the matter source in this gravitational field is. The equations were first published by einstein in 1915 in the form of a tensor equation which related the local spacetime curvature expressed by the einstein tensor with the local energy and momentum within that.
Einsteins field equations for general relativity including the metric tensor christoffel symbols ricci cuvature tensor curvature scalar stress energy momentum tensor and cosmological constant. Here are some important special relativity equations that deal with time dilation length contraction and more. In general theory of relativity the einstein field equations efe. The problem is that the equations require the energy and momentum to be defined precisely at every space time point which contradicts the uncertainty principle for quantum states.
Einsteins theory of special relativity describes what happens as things near the speed of light. This is not a just a problem at high energies or short distances it is a conceptual incompatibility that applies in every lab. Einsteins general relativity depicted the universe as a geometric system of three spatial and one time dimensions. Einstein then spent 10 years trying to include acceleration in the theory and published his theory of general relativity in 1915.
