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A world-sheet is then an embedded surface, that is, an embedded 2-manifold , such that the induced metric has signature (, +) everywhere. Consequently it is possible to locally define coordinates ( τ , σ ) {\displaystyle (\tau ,\sigma )} where τ {\displaystyle \tau } is time-like while σ {\displaystyle \sigma } is space-like .
1972 — Jacob Bekenstein suggests that black holes have an entropy proportional to their surface area due to information loss effects; 1974 — Stephen Hawking applies quantum field theory to black hole spacetimes and shows that black holes will radiate particles with a black-body spectrum which can cause black hole evaporation
A black hole with the mass of a car would have a diameter of about 10 −24 m and take a nanosecond to evaporate, during which time it would briefly have a luminosity of more than 200 times that of the Sun. Lower-mass black holes are expected to evaporate even faster; for example, a black hole of mass 1 TeV/c 2 would take less than 10 −88 ...
The Kerr metric or Kerr geometry describes the geometry of empty spacetime around a rotating uncharged axially symmetric black hole with a quasispherical event horizon.The Kerr metric is an exact solution of the Einstein field equations of general relativity; these equations are highly non-linear, which makes exact solutions very difficult to find.
By: Patrick Jones. A 30-year-long question about black holes has finally been resolved. Apparently, black holes twist space time like taffy. This finding is based off a principle put forward by ...
Fig 4–2. Relativistic time dilation, as depicted in a single Loedel spacetime diagram. Both observers consider the clock of the other as running slower. Relativistic time dilation refers to the fact that a clock (indicating its proper time in its rest frame) that moves relative to an observer is observed to run slower. The situation is ...
In these coordinates, the horizon is the black hole horizon (nothing can come out). The diagram for u-r coordinates is the same diagram turned upside down and with u and v interchanged on the diagram. In that case the horizon is the white hole horizon, which matter and light can come out of, but nothing can go in.
This paper predicted the existence of what are today known as black holes. [1] [7] The term "black hole" was coined decades later, in the fall of 1967, by John Archibald Wheeler at a conference held by the Goddard Institute for Space Studies in New York City; [7] it appeared for the first time in print the following year. [8]