scholarly journals False vacuum decay in a two-dimensional black hole spacetime

2021 ◽  
Vol 103 (8) ◽  
Author(s):  
Taiga Miyachi ◽  
Jiro Soda
Keyword(s):  
Black Hole ◽  
Two Dimensional ◽  
False Vacuum ◽  
Vacuum Decay ◽  
Black Hole Spacetime ◽  
Dimensional Black Hole

scholarly journals Black hole induced false vacuum decay from first principles

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Andrey Shkerin ◽  
Sergey Sibiryakov
Keyword(s):  
Black Hole ◽  
Decay Rate ◽  
First Principles ◽  
Two Dimensional ◽  
False Vacuum ◽  
Dimensional Model ◽  
Vacuum Decay ◽  
Four Dimensions ◽  
Dilaton Black Hole ◽  
Black Hole Temperature

Abstract We provide a method to calculate the rate of false vacuum decay induced by a black hole. The method uses complex tunneling solutions and consistently takes into account the structure of different quantum vacua in the black hole metric via boundary conditions. The latter are connected to the asymptotic behavior of the time-ordered Green’s function in the corresponding vacua. We illustrate the technique on a two-dimensional toy model of a scalar field with inverted Liouville potential in an external background of a dilaton black hole. We analytically derive the exponential suppression of tunneling from the Boulware, Hartle-Hawking and Unruh vacua and show that they are parametrically different. The Unruh vacuum decay rate is exponentially smaller than the decay rate of the Hartle-Hawking state, though both rates become unsuppressed at high enough black hole temperature. We interpret the vanishing suppression of the Unruh vacuum decay at high temperature as an artifact of the two-dimensional model and discuss why this result can be modified in the realistic case of black holes in four dimensions.

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 Geodesics and geodesic deviation in a two-dimensional black hole

2003 ◽  
Vol 71 (10) ◽  
pp. 1037-1042 ◽  
Author(s):  
Ratna Koley ◽  
Supratik Pal ◽  
Sayan Kar
Keyword(s):  
Black Hole ◽  
Two Dimensional ◽  
Geodesic Deviation ◽  
Dimensional Black Hole

scholarly journals Quasinormal modes of a two-dimensional black hole

2013 ◽  
Vol 45 (11) ◽  
pp. 2239-2250 ◽  
Author(s):  
S. Estrada-Jiménez ◽  
J. R. Gómez-Díaz ◽  
A. López-Ortega
Keyword(s):  
Black Hole ◽  
Quasinormal Modes ◽  
Two Dimensional ◽  
Dimensional Black Hole

scholarly journals ON KALUZA–KLEIN SPACE–TIME IN EINSTEIN–GAUSS–BONNET GRAVITY

2009 ◽  
Vol 18 (04) ◽  
pp. 599-611 ◽  
Author(s):  
ALFRED MOLINA ◽  
NARESH DADHICH
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Dimensional Space ◽  
Space Time ◽  
Two Dimensional ◽  
Bonnet Gravity ◽  
Space Of Constant Curvature ◽  
Dimensional Black Hole ◽  
Dimensional Space Time ◽  
Kaluza Klein

By considering the product of the usual four-dimensional space–time with two dimensional space of constant curvature, an interesting black hole solution has recently been found for Einstein–Gauss–Bonnet gravity. It turns out that this as well as all others could easily be made to radiate Vaidya null dust. However, there exists no Kerr analog in this setting. To get the physical feel of the four-dimensional black hole space–times, we study asymptotic behavior of stresses at the two ends, r → 0 and r → ∞.

scholarly journals Superstring in two dimensional black hole

1992 ◽  
Vol 274 (1) ◽  
pp. 41-46 ◽  
Author(s):  
Shin'ichi Nojiri
Keyword(s):  
Black Hole ◽  
Two Dimensional ◽  
Dimensional Black Hole

scholarly journals Two-dimensional black hole and singularities of CY manifolds

1996 ◽  
Vol 463 (1) ◽  
pp. 55-72 ◽  
Author(s):  
Hirosi Ooguri ◽  
Cumrun Vafa
Keyword(s):  
Black Hole ◽  
Two Dimensional ◽  
Dimensional Black Hole

scholarly journals On catalyzed vacuum decay around a radiating black hole and the crisis of the electroweak vacuum

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Takumi Hayashi ◽  
Kohei Kamada ◽  
Naritaka Oshita ◽  
Jun’ichi Yokoyama
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Standard Model ◽  
Decay Rate ◽  
Early Universe ◽  
Hawking Radiation ◽  
False Vacuum ◽  
Vacuum Decay ◽  
Higgs Vacuum ◽  
The Standard Model

Abstract False vacuum decay is a key feature in quantum field theories and exhibits a distinct signature in the early Universe cosmology. It has recently been suggested that the false vacuum decay is catalyzed by a black hole (BH), which might cause the catastrophe of the Standard Model Higgs vacuum if primordial BHs are formed in the early Universe. We investigate vacuum phase transition of a scalar field around a radiating BH with taking into account the effect of Hawking radiation. We find that the vacuum decay rate slightly decreases in the presence of the thermal effect since the scalar potential is stabilized near the horizon. However, the stabilization effect becomes weak at the points sufficiently far from the horizon. Consequently, we find that the decay rate is not significantly changed unless the effective coupling constant of the scalar field to the radiation is extremely large. This implies that the change of the potential from the Hawking radiation does not help prevent the Standard Model Higgs vacuum decay catalyzed by a BH.

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