# Black holes in general relativity

@article{Hawking1972BlackHI, title={Black holes in general relativity}, author={S. Hawking}, journal={Communications in Mathematical Physics}, year={1972}, volume={25}, pages={152-166} }

It is assumed that the singularities which occur in gravitational collapse are not visible from outside but are hidden behind an event horizon. This means that one can still predict the future outside the event horizon. A black hole on a spacelike surface is defined to be a connected component of the region of the surface bounded by the event horizon. As time increase, black holes may merge together but can never bifurcate. A black hole would be expected to settle down to a stationary state. It… Expand

#### 742 Citations

Gravastar formation: What can be the evidence of a black hole?

- Physics
- 2019

Any observer outside black holes cannot detect any physical signal produced by the black holes themselves, since, by definition, the black holes are not located in the causal past of the outside… Expand

Gedanken experiments to destroy a black hole

- Physics
- 1974

Abstract It is widely believed that the complete gravitational collapse of a body always results in a black hole (i.e., “naked singularities” can never be produced) and that all black holes… Expand

Late-time symmetry near black hole horizons

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- 2012

It is expected that black holes are formed dynamically under the gravitational collapses and approach to the stationary states. In this paper, we show that the asymptotic Killing vector at late time… Expand

A variational principle for black holes

- Physics
- 1973

It is shown that the initial data which gives rise to stationary black hole solutions extremizes the mass for a given angular momentum and area of the horizon. The only extremum of the mass for a… Expand

Can an astrophysical black hole have a topologically non-trivial event horizon?

- Physics
- 2011

Abstract In 4-dimensional General Relativity, there are several theorems restricting the topology of the event horizon of a black hole. In the stationary case, black holes must have a spherical… Expand

Black hole statistical physics: Entropy

- Physics
- 2005

Black hole is one of new physical phenomena predicted by General Relativity (GR). Though the existence of black holes is still hypothetical (see, for example, [1]), they send a challenge to our… Expand

Black holes and trapped surfaces

- Physics
- 2010

The relation between the presence of closed trapped surfaces and the existence of black holes is reviewed paying special attention to the possibility of defining the surface of the latter. Closed… Expand

Stationary black holes as holographs

- Physics
- 2007

Smooth spacetimes possessing a (global) one-parameter group of isometries and an associated Killing horizon in Einstein's theory of gravity are investigated. No assumption concerning the asymptotic… Expand

Stationary Black Holes and Light Rings.

- Medicine, Physics
- Physical review letters
- 2020

This Letter proves the following theorem: a stationary, axisymmetric, asymptotically flat black hole spacetime in 1+3 dimensions, with a nonextremal, topologically spherical, Killing horizon admits, at least, one standard LR outside the horizon for each rotation sense. Expand

The time symmetric initial value problem for black holes

- Physics
- 1972

The time symmetric initial value problem for black holes is discussed. It is shown that if a solution contains marginally trapped surfaces these correspond to minimal surfaces lying inside the black… Expand

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