snoopies622 said:Why is Einstein's law of gravitation for empty space sometimes identified as Ricci tensor=0 instead of Einstein tensor=0. The first condition implies the second one, but not the other way around.
snoopies622 said:Perhaps the equivalence of the two conditions is always true in 4-d space but not 2-d space..
Einstein's Law of Gravitation in Empty Space, also known as the Einstein Field Equations, is a set of equations developed by Albert Einstein in his theory of general relativity. It describes how matter and energy in a given region of space cause the curvature of spacetime, which in turn determines the motion of other objects in that region.
Einstein's Law of Gravitation takes into account the curvature of spacetime, while Newton's Law of Universal Gravitation assumes that space is flat. This means that Einstein's law can explain phenomena such as the bending of light around massive objects, which cannot be accounted for by Newton's law.
Yes, Einstein's Law of Gravitation has been tested and confirmed through various experiments and observations. One notable example is the observation of the bending of starlight during a solar eclipse, which provided evidence for the curvature of spacetime predicted by the theory.
No, Einstein's Law of Gravitation applies to all regions of space, whether they are empty or contain matter and energy. However, in the presence of matter and energy, the curvature of spacetime and the resulting gravitational effects are more pronounced.
Einstein's Law of Gravitation is a more comprehensive and accurate explanation of gravity compared to Newton's Law of Universal Gravitation. It explains gravity as a result of the curvature of spacetime caused by the presence of matter and energy, rather than a force acting between objects as described by Newton's law.