General Relativity How Exactly Does Curved Space Time

general relativity how exactlydoescurvedspace time represents a topic that has garnered significant attention and interest. generalrelativity - How exactlydoescurvedspace-time describe the .... But how does the space-time know it should be curved in the first place? Well, it's because it obeys Einstein's equations (why does it obey these equations is a separate question though). These equations describe precisely how matter affects space-time.

Curved spacetime - Wikipedia. In physics, curved spacetime is the mathematical model in which, with Einstein 's theory of general relativity, gravity naturally arises, as opposed to being described as a fundamental force in Newton's static Euclidean reference frame. Relativity - Curved Space-Time, Geometric Gravitation | Britannica. General relativity is expressed in a set of interlinked differential equations that define how the shape of space-time depends on the amount of matter (or, equivalently, energy) in the region.

General Theory of Relativity Curved Space-Time. We have seen that space can be non-Euclidean in General Relativity. But exactly what does it mean to say that space or, for that matter, space-time is curved? A few examples can help to illustrate things. Another key aspect involves, at first, we will consider only two-dimensional surfaces.

Imagine that we have a flat sheet. Curved Space - Special and General Relativity - Physics of the Universe. Similarly, in fact, it turns out that gravity is nothing more than curved space, or, more specifically, the curvature or warpage of four- dimensional space-time. A simple analogy might help us to understand this notoriously hard-to-visualize concept.

10: General Relativity - Physics LibreTexts. You will investigate properties of curved spacetime including time dilation, gravitational redshifts, and gravitational lensing. You will also build a mathematical construct for describing curvature and apply it to two- and three-dimensional models. Furthermore, gP-B — Einstein's Spacetime.

Gravity feels strongest where spacetime is most curved, and it vanishes where spacetime is flat. This is the core of Einstein's theory of general relativity, which is often summed up in words as follows: "matter tells spacetime how to curve, and curved spacetime tells matter how to move". Curved Space | A Briefer History of Time. Though the phenomenon is harder to picture, the mass of the sun curves space-time in such a way that although the earth follows a straight path in four-dimensional space-time, it appears to us to move along a nearly circular orbit in three-dimensional space.

• Applying the equivalence principle once again, we are led to the conclusion that what we call a gravitational field can be viewed as just the “physical manifestation” of curved space-time! A New Understanding: Curved Spacetime - University of Houston. Another key aspect involves, when a smaller mass passes near a larger mass, it curves toward the larger mass because spacetime itself is curved toward the larger mass. The smaller mass is not "attracted" to the larger mass by any force. The smaller mass simply follows the structure of curved spacetime near the larger mass.