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A matter distribution with a sinsuoidally varying monopole or dipole moment will only produce variations in the gravitational field within the matter distribution. If the quadrupole (or a higher mult …

No. There are numerous well-known mass distributions that start out non-singular, and which collapse to form a black-hole after a finite amount of time. Black hole solutions, however, have a regio …

Since every object creates a gravitational field, the only way that there can be space with no gravity whatsoever is if you have no objects whatsoever. …

For this to happen, you have to consider two things: the background geometry set up by the object, initially. subsequent gravitational radiation Einstein's equation is nonlinear, which means that …

General relativity says that special relativity is valid in the absence of matter. The Minkowski metric solves einstein's equation in the absence of a stress-energy tensor, for example. Numerous expe …

The value $r = \frac{2GM}{c^{2}}$ defines a special surface in the Schwarzschild spacetime called the event horizon. Observers inside this radius cannot be stationary with respect to points very dist …

According to general relativity, the matter in a black hole is already collapsed down to a volume of exactly zero. It is not meaningful to talk about further collapse.

The primary effect generating variations in temperature on a spot on planet is the amount of direct sunlight that that spot on the surface of the Earth gets. The farther from the poles an area gets, …

The latter is not--the Earth's gravitational field, for instance, is mostly static--we just feel the same ol' gravity all the time. … So us Earthlings talking about the 'speed' of Earth's gravity doesn't mean much. …

While the distant observer will never observe the infalling observer crossing the event horizon, the infalling observer will intersect the horizon in a finite, calculable amount of local time. So, un …

The formal definition is 'a point through which a geodesic cannot be extended'. It can be a point where the curvature is infinite, as said above, but the concept is a little more general--it is a poi …

Derivatives along the boundary surface are fixed, since the formalism requires fixing coordinates on your initial time-slice, meaning that both the metric and the 3-connexion are fixed. Derivatives …

The critical density is the density required to make the universe spatially flat. It will still be curved in the time dimension. A universe containing no matter (and no radiation) would be COMPLETEL …

The answer to your first question is no. In fact, you can find static, stationary solutions to GR corresponding to cosmic strings and domain walls, or even more exotic solutions, like the c-metric. …

Since gravity provides no less or more force than exactly the centripetal force required to keep your person above the same spot on the ground, your person would not need the ground to hold herself up. …