No black-hole theorem in three-dimensional gravity

@article{Ida2000NoBT,
  title={No black-hole theorem in three-dimensional gravity},
  author={Ida},
  journal={Physical review letters},
  year={2000},
  volume={85 18},
  pages={
          3758-60
        }
}
  • Ida
  • Published 31 May 2000
  • Physics
  • Physical review letters
A common property of known black-hole solutions in (2+1)-dimensional gravity is that they require a negative cosmological constant. To explain this, it is shown in this Letter that a (2+1)-dimensional gravity theory which satisfies the dominant energy condition forbids the existence of a black hole. 

New class of rotating perfect fluid black holes in three dimensional gravity

We obtain a new class of rotating black holes for Einstein theory with perfect fluid source in (2+1) dimensions. We conclude that these black hole solutions only depend on variable angular velocity

Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole

In three spacetime dimensions, general relativity becomes a topological field theory, whose dynamics can be largely described holographically by a two-dimensional conformal field theory at the

Accelerating black hole in 2+1 dimensions and 3+1 black (st)ring

A C-metric type solution for general relativity with cosmological constant is presented in 2 + 1 dimensions. It is interpreted as a three-dimensional black hole accelerated by a strut. Positive

New class of rotating perfect fluid black holes in three dimensional gravity

We obtain a new class of rotating black holes for Einstein theory with perfect fluid source in $$(2+1)$$(2+1) dimensions. We conclude that these black hole solutions only depend on the variable of

On the static solutions in gravity with massive scalar field in three dimensions

We investigate circularly symmetric static solutions in three-dimensional gravity with a minimally coupled massive scalar field. We integrate numerically the field equations assuming asymptotic

On the static solutions in gravity with massive scalar field in three dimensions

We investigate circularly symmetric static solutions in three-dimensional gravity with a minimally coupled massive scalar field. We integrate numerically the field equations assuming asymptotic

BTZ black hole as a solution of a higher-spin gauge theory in three-dimensional space-time

We show that the BTZ black hole is an exact solution of a higher-spin gauge theory in three-dimensional space-time. We find solutions for free massless fields in the black-hole metric using the star

Three Dimensional Einstein’s Gravity

  • G. Compère
  • Physics
    Advanced Lectures on General Relativity
  • 2019
General Relativity is a very complex theory whose quantization remains elusive. A reduced version of the theory exists: 3-dimensional Einstein’s gravity to which this lecture is dedicated. As a

Gravitational Collapse of Massless Scalar Field with Negative Cosmological Constant in (2+1) Dimensions

The 2+1-dimensional geodesic circularly symmetric solutions of Einstein-massless-scalar field equations with negative cosmological constant are found and their local and global properties are

Exact black hole formation in three dimensions

...

References

SHOWING 1-10 OF 19 REFERENCES

Spinors and space-time

In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant

Commun

  • Math. Phys. 25, 152 (1972); S.W. Hawking, in Black Holes, ed. C. De Witt and B.S. De Witt,
  • 1973

Quantum Gravity in 2+1 Dimensions

1. Why (2+1)-dimensional gravity? 2. Classical general relativity in 2+1 dimensions 3. A field guide to the (2+1)-dimensional spacetimes 4. Geometric structures and Chern-Simons theory 5. Canonical

Nucl

  • Phys. B 544, 775
  • 1999

Phys

  • Lett. B 371, 199
  • 1996

Phys

  • Lett. B 468, 201
  • 1999

Nucl

  • Phys. B 311, 46
  • 1988

Phys

  • Rev. D 48, 1506
  • 1993

Phys

  • Rev. Lett. 69, 1849
  • 1992

Phys

  • Rev. D 48, 2598
  • 1993