Stability of the Cauchy horizon and scalar curvature singularity without mass inflation in two-dimensional dilation black holes

1996 ◽  
Vol 53 (10) ◽  
pp. 5698-5704 ◽  
Author(s):  
Rong-Gen Cai
Keyword(s):  
Black Holes ◽  
Scalar Curvature ◽  
Two Dimensional ◽  
Cauchy Horizon ◽  
Curvature Singularity ◽  
Mass Inflation

scholarly journals RELATING QUANTUM INFORMATION TO CHARGED BLACK HOLES

2005 ◽  
Vol 14 (08) ◽  
pp. 1321-1331 ◽  
Author(s):  
XIAN-HUI GE ◽  
YOU-GEN SHEN
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Thought Experiment ◽  
Two Dimensional ◽  
Cauchy Horizon ◽  
Charged Black Holes ◽  
Inner Horizon ◽  
Local Measurements ◽  
Non Local ◽  
Dilaton Black Holes

Quantum non-cloning theorem and a thought experiment are discussed for charged black holes whose global structure exhibits an event and a Cauchy horizon. We take Reissner–Norström black holes and two-dimensional dilaton black holes as concrete examples. The results show that the quantum non-cloning theorem and the black hole complementarity are far from consistent inside the inner horizon. The relevance of this work to non-local measurements is briefly discussed.

scholarly journals Islands in linear dilaton black holes

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Georgios K. Karananas ◽  
Alex Kehagias ◽  
John Taskas
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Entanglement Entropy ◽  
Von Neumann Entropy ◽  
Two Dimensional ◽  
Extremal Case ◽  
Von Neumann ◽  
Dimensional Black Hole ◽  
Linear Dilaton ◽  
Linear Dilaton Black Hole

Abstract We derive a novel four-dimensional black hole with planar horizon that asymptotes to the linear dilaton background. The usual growth of its entanglement entropy before Page’s time is established. After that, emergent islands modify to a large extent the entropy, which becomes finite and is saturated by its Bekenstein-Hawking value in accordance with the finiteness of the von Neumann entropy of eternal black holes. We demonstrate that viewed from the string frame, our solution is the two-dimensional Witten black hole with two additional free bosons. We generalize our findings by considering a general class of linear dilaton black hole solutions at a generic point along the σ-model renormalization group (RG) equations. For those, we observe that the entanglement entropy is “running” i.e. it is changing along the RG flow with respect to the two-dimensional worldsheet length scale. At any fixed moment before Page’s time the aforementioned entropy increases towards the infrared (IR) domain, whereas the presence of islands leads the running entropy to decrease towards the IR at later times. Finally, we present a four-dimensional charged black hole that asymptotes to the linear dilaton background as well. We compute the associated entanglement entropy for the extremal case and we find that an island is needed in order for it to follow the Page curve.

scholarly journals Two-dimensional black holes in a higher derivative gravity and matrix model

2008 ◽  
Vol 794 (1-2) ◽  
pp. 28-45 ◽  
Author(s):  
Kwangho Hur ◽  
Seungjoon Hyun ◽  
Hongbin Kim ◽  
Sang-Heon Yi
Keyword(s):  
Black Holes ◽  
Matrix Model ◽  
Two Dimensional ◽  
Higher Derivative

scholarly journals Are black holes really two dimensional?

Physics ◽  
2009 ◽  
Vol 2 ◽  
Author(s):  
Vijay Balasubramanian
Keyword(s):  
Black Holes ◽  
Two Dimensional
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