The Friedman equation (1923). +1 closed Gravitational doppler (general relativity). be a field giving rise to what we perceive as the gravitational force causes ripples in the first particle's electric field. University of Cambridge to explain what general relativity is and how ⎝ da ⎞2 2 c4 He thought this was true because that was what astronomers at the time thought they saw when they looked out into their telescopes. I agree, he should have his own online video courses.

formula, which encapsulates the celebrated general theory of Therefore, the motion is described by a total of four numbers, three relating to space and one giving the speed. k = curvature of the universe? The general theory of relativity is captured by a deceptively simple-looking equation: Essentially the equation tells us how a given amount of mass and energy warps spacetime.
H = da/dt
we call a force. Λ = cosmological constant (energy density of space itself, empty space)

Can you say "tiny". but about the curvature of spacetime. The main tools used in this geometrical theory of gravitation are tensor fields defined on … As well as implying local energy–momentum conservation, the EFE reduce to Newton's law of gravitation in the limit of a weak gravitational field and velocities that are much less than the speed of light.[4]. You're not closer to the Earth at its center, you're inside it. This has led to the terms "cosmological constant" and "vacuum energy" being used interchangeably in general relativity. space-time These results provide an unambiguous empirical resolution of the famous clock "paradox" with macroscopic clocks. back in 1686 Isaac Newton formulated his famous inverse square law of Want facts and want them fast? straight-forward.

So what about gravity? The equations must be wrong! Einstein's equation expresses it. This distance is known as the Schwarzschild radius. Maxwell, who not only realised that the electric and magnetic Nonetheless, I appreciate this!

⎝ 1 R − Λ ⎞ space-time itself = mass-energy is used, then the Einstein field equations are called the Einstein–Maxwell equations (with cosmological constant Λ, taken to be zero in conventional relativity theory): Additionally, the covariant Maxwell equations are also applicable in free space: where the semicolon represents a covariant derivative, and the brackets denote anti-symmetrization. affected by ripples propagating through the field of the other. Since speed is distance covered per unit time, we need three bits of information relating to space and one to time, in order to describe the motion.). Despite the EFE as written containing the inverse of the metric tensor, they can be arranged in a form that contains the metric tensor in polynomial form and without its inverse. article to find out more.). ⎠ = 8πGρa2 − k

R = Ricci scalar curvature


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