Sentences with phrase «field equations»

Some of the strange mathematical properties of black holes, coming from Karl Schwarzschild's first solution of the Einstein field equations of general relativity in 1915, still puzzle the scientists.

Now known as the Einstein field equations, and published in 1916, they supplanted Newton's law of universal gravitation and are still used today, nearly a century later.

But even though it's a little different than solving field equations in physics, it's an extremely satisfying career, says Handa.

Still this epoch was an intermediate attractor for field equations, so it was not unnatural.

Einstein's field equations allow you to calculate this length in classical physics.

So he kept plugging his increasingly realistic assumptions into his computer and set about solving Einstein's field equations again and again, each time marveling at the results that came pouring out.

Some theories of quantum gravity require space - time itself to be grainy — to be made up of discrete quanta, presumably around 10 - 35 of a meter across because that's the scale at which Einstein's field equations generate their bothersome infinities.

Simulations of black holes with different masses and spins that match, or which are oddly aligned, require the complex mathematics of Einstein's strong field equations.

D. Olive, N. Turok, The Symmetries of Dynkin Diagrams and the Reduction of Toda Field Equations, Nuclear Physics B215 [FS8], 1983, 470

Einstein used tensors to develop his equation describing the gravitational field, known as the Einstein field equation.

He later came to regard his doctoring of the field equations as the fundamental blunder of his scientific career» (Swimme, unpublished paper).

According to Turek, «The significance of Lemaitre's work for cosmology lies not in his particular solutions to Einstein's field equations, but rather in the new approach he provided to fundamental questions in cosmology.»

«In order to arrive at this consistent view,» Einstein wrote in 1917, «we admittedly had to introduce an extension of the field equations of gravitation which is not justified by our actual knowledge of gravitation.»

In the 1960s, the New Zealand mathematician Roy Kerr discovered a more general class of solutions to Einstein's field equations.

Shortly after Einstein proposed his general theory of relativity, a German physicist called Karl Schwarzschild found one of the first and most important solutions to Einstein's field equations.

Ten linked equations — Einstein's field equations — describe precisely how space - time is curved for any given distribution of matter and energy, even for something as extreme as a black hole.

Specifically, the horizon is obtained by plotting null geodesic lines on the so - called Schwarzschild metric, the solution to the field equations posed by Einstein for describing the gravitation field of a black hole.

But then right at the very end of a really long journey you learn something like the Schwarzschild solution to the field equations of general relativity, which hinted at the existence of black holes, and suddenly you remember why you began the journey.

Einstein presents his field equations of general relativity to the Prussian Academy of Sciences in Berlin

He did so by providing an exact solution to the heart of the theory — a field equation that allows one to calculate the force of a gravitational field — and his analysis reflects the distinctive characteristics of all his work.

Some interpretations of the field equation are realized in a static but unstable universe, one that simply hangs around for all eternity if it manages to hang around at all.

Gödel's solution to the field equation vindicated the deepest insight of Einstein's theory, namely that time is relative.

And this strange assumption, Gödel demonstrated, satisfies the field equation of general relativity exactly.

So experts usually speak of the Einstein field equations, plural.)

The solution of the field equations that describe general relativity can yield answers to different physical situations, such as planetary dynamics, the birth and death of stars, black holes, and the evolution of the universe.

«The field equations of his General Theory of Relativity implied that a large star or cloud of gas would collapse in on itself and form a black hole,» Hawking told Time.

The whole point of Einstein's field equation is to find the connection coefficients which govern geodesic equation trajectories in the neighborhood of a massive and / or highly energetic object.