The theory of general relativity predicts that a sufficiently compact mass will deform spacetime to form a black hole.

This temperature is inversely proportional to the mass of the black hole, making it difficult to observe this radiation for black holes of stellar mass or greater.

After a black hole has formed it can continue to grow by absorbing mass from its surroundings.

If there are other stars orbiting a black hole, their orbit can be used to determine its mass and location.

Through the work of Werner Israel, Brandon Carter, and David Robinson the no-hair theorem emerged, stating that a stationary black hole solution is completely described by the three parameters of the Kerr – Newman metric ; mass, angular momentum, and electric charge.

These laws describe the behaviour of a black hole in close analogy to the laws of thermodynamics by relating mass to energy, area to entropy, and surface gravity to temperature.

The no-hair theorem states that, once it achieves a stable condition after formation, a black hole has only three independent physical properties: mass, charge, and angular momentum.

Similarly, the total mass inside a sphere containing a black hole can be found by using the gravitational analog of Gauss's law, the ADM mass, far away from the black hole.

The simplest black holes have mass but neither electric charge nor angular momentum.

This means that there is no observable difference between the gravitational field of such a black hole and that of any other spherical object of the same mass.

The popular notion of a black hole " sucking in everything " in its surroundings is therefore only correct near a black hole's horizon ; far away, the external gravitational field is identical to that of any other body of the same mass.

While the mass of a black hole can take any positive value, the charge and angular momentum are constrained by the mass.

for a black hole of mass M. Black holes saturating this inequality are called extremal.

In this context, black revolts in Cuba increased, and were put down with mass executions.

The Kerr Metric, corresponding to a black hole of mass and angular momentum, can be used to derive the effective potential for particle orbits restricted to the equator ( as defined by rotation ).

* The majority of giant galaxies contain a supermassive black hole in their centers, ranging in mass from millions to billions of times the mass of our Sun.

The black hole mass is tied to properties of its host galaxy.

In analyzing quantum states and black holes, physicist Don Page writes that " determining experimentally whether or not information is lost down black holes of solar mass ... would require more than measurements to give a rough determination of the final density matrix after a black hole evaporates ".

In a separate article, Page shows that the number of states in a black hole with a mass roughly equivalent to the Andromeda Galaxy is in the range of a googolplex.

't Hooft showed that this field makes a logarithmic tent-pole shaped bump on the horizon of a black hole, and like a shadow, the bump is an alternate description of the particle's location and mass.

The mass of a very large star or black hole may be identified with its Schwarzschild radius ().

The problem is rather to find out what is actually happening, and this is especially difficult for the reason that `` we are busily being defended from a knowledge of the present, sometimes by the very agencies -- our educational system, our mass media, our statesmen -- on which we have had to rely most heavily for understanding of ourselves ''.

the prolusion in which the autobiographic statement about the epithet occurs is such a mass of intentionally buried allusions that almost nothing in it can be accepted as true -- or discarded as false.

Much more important is to grasp the feelings of the narrator ( whose full name is never given ) as he becomes aware of the disorganized and bewildered mass of French prisoners clustered together in a temporary prison camp in and around the cathedral of Chartres.

The human is deeper than a mass ideology, certainly deeper than the isolated individual ; ;

Although Mr. Brown was not himself its inventor ( it was a French idea ), it is typical that his intuition first conceived the importance of mass producing this basic tool for general use.

As mass dealer and distributor organizations grow in size, there is every reason to expect them to try to share in the manufacturer's as well as the distributor's profits -- which is, in effect, what the sale of private brands tends to do.

This calculation results in an enthalpy rise which is somewhat high because it assumes a mass flow equally distributed over the plug cross section whereas in reality the mass velocity is expected to be smaller in the regions of higher temperatures.

Note that the mass threshold is four times that of 1958 Alpha and that the flux is one fifth as large.

With detectors sensitive to three mass intervals and based on a few counts, the second and third Russian space probes indicate that the flux of the smallest particles detected is less than that of larger ones.

The threshold mass is derived from the momentum threshold with the assumption of a mean impact velocity of Af in the U.S. work and Af in the U.S.S.R. work.

However, the conversion from mass to size is unreliable, since many photographic meteors give evidence of a fluffy, loosely bound meteorite structure with densities as low as Af.

if a substantial fraction of the dust is orbiting about the Earth, only about one third the above-mentioned average velocity should be used in deriving the mass.

The radius is calculated from the mass by assuming spheres of density Af except for the smallest particles, which must have a higher mass density to remain in the solar system in the presence of solar-radiation pressure.

It is assumed that the flux values increase by a factor of 2.512 per magnitude, in accordance with the opinion that the total mass flux in each unit range in magnitude is constant.

Note that the mass scale is one to two orders of magnitude greater than some previously used ; ;

In the mid-nineteenth century, measurements were made determining that the burning rate within a grain of black powder ( or a tightly packed mass ) is about 0. 20 fps, while the rate of ignition propagation from grain to grain is around 30 fps, over two orders of magnitude faster.

Unequal fissions are energetically more favorable because this allows one product to be closer to the energetic minimum near mass 60 u ( only a quarter of the average fissionable mass ), while the other nucleus with mass 135 u is still not far out of the range of the most tightly bound nuclei ( another statement of this, is that the atomic binding energy curve is slightly steeper to the left of mass 120 u than to the right of it ).

For the same reason, larger nuclei ( more than about eight nucleons in diameter ) are less tightly bound per unit mass than are smaller nuclei ; breaking a large nucleus into two or more intermediate-sized nuclei, releases energy.

Dissection reveals a mass of tightly wound fibers, tubes, and yellow goo ( liquid helium ).

The masses of the black holes correlate tightly with bulge properties ; the tightest such correlation, the M-sigma relation, is between black hole mass and the velocity dispersion of stars in the bulge.

In artillery, a grapeshot is a type of shot that is not a one solid element, but a mass of small metal balls or slugs packed tightly into a canvas bag.

As they advanced, they were channelled into a tightly packed mass.

Nonetheless, the Japanese forces suffered serious losses, as the Russian defenders were well positioned to use hand grenades and machine guns against the tightly packed mass of Japanese soldiers.

On the other hand, the open space of the Theresienwiese and the existing imposing and symbolic architecture were readily used for propagandistic staging, for example for the mass events connected with the pompous May Day celebrations which took place until the outbreak of World War II, as is evident in accounts written by the tightly controlled press.

When recently fed caterpillars pack tightly together, the temperature in the interior of the mass may be several degrees above ambient temperature even in the absence of a radiant heat source.

Measuring 4 μm wide to 8 μm high, an enamel rod is a tightly packed, highly organized mass of hydroxyapatite crystals.

After the mid-1930s, people's movements were more tightly controlled, and mass surveys and treatments ( of arsenicals and other drugs ) were organized, and so the GUD incidences started to decline.