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Diagram regarding the confirmation of gravitomagnetism by Gravity Probe B. Gravitoelectromagnetism, abbreviated GEM, refers to a set of formal analogies between the equations for electromagnetism and relativistic gravitation; specifically: between Maxwell's field equations and an approximation, valid under certain conditions, to the Einstein field equations for general relativity.
The electromagnetic force is one of the four fundamental forces of nature. It is the dominant force in the interactions of atoms and molecules. Electromagnetism can be thought of as a combination of electrostatics and magnetism, which are distinct but closely intertwined phenomena. Electromagnetic forces occur between any two charged particles.
The gravitational and electromagnetic interactions produce long-range forces whose effects can be seen directly in everyday life. The strong and weak interactions produce forces at subatomic scales and govern nuclear interactions inside atoms. Some scientists hypothesize that a fifth force might exist, but these hypotheses remain speculative.
The force on a test particle subject only to gravity and electromagnetism is = +, where p α is the linear 4-momentum of the particle, t is any time coordinate parameterizing the world line of the particle, Γ β αγ is the Christoffel symbol (gravitational force field), and q is the electric charge of the particle.
When the equivalent of Maxwell's equations for electromagnetism is formulated within the framework of Einstein's theory of general relativity, the electromagnetic field energy (being equivalent to mass as defined by Einstein's equation E=mc 2) contributes to the stress tensor and thus to the curvature of space-time, which is the general ...
The gravitational field of M at a point r in space is found by determining the force F that M exerts on a small test mass m located at r, and then dividing by m: [1] = (). Stipulating that m is much smaller than M ensures that the presence of m has a negligible influence on the behavior of M .
The electromagnetic force acts between electric charges, and the gravitational force acts between masses. All other forces in nature derive from these four fundamental interactions operating within quantum mechanics, including the constraints introduced by the Schrödinger equation and the Pauli exclusion principle. [67]
[36] [37]: 35 The electromagnetic force is very strong, second only in strength to the strong interaction, [38] but unlike that force it operates over all distances. [39] In comparison with the much weaker gravitational force , the electromagnetic force pushing two electrons apart is 10 42 times that of the gravitational attraction pulling them ...