scholarly journals Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Yuan Zhong
Keyword(s):  
Linear Stability ◽  
Static Solution ◽  
Hamiltonian Operator ◽  
General Analysis ◽  
Two Dimensional ◽  
Dilaton Gravity ◽  
Dynamical Equations ◽  
Gauge Fixing ◽  
Stability Of The Solution

Abstract Self-gravitating kink solutions of a two-dimensional dilaton gravity are revisited in this work. Analytical kink solutions are derived from a concise superpotential formalism of the dynamical equations. A general analysis on the linear stability is conducted for an arbitrary static solution of the model. After gauge fixing, a Schrödinger-like equation with factorizable Hamiltonian operator is obtained, which ensures the linear stability of the solution.

scholarly journals THERMODYNAMIC DUALITY BETWEEN RN BLACK HOLE AND 2D DILATON GRAVITY

2008 ◽  
Vol 23 (02) ◽  
pp. 91-98 ◽  
Author(s):  
YUN SOO MYUNG ◽  
YONG-WAN KIM ◽  
YOUNG-JAI PARK
Keyword(s):  
Black Hole ◽  
Thermodynamic Quantities ◽  
Two Dimensional ◽  
Dilaton Gravity ◽  
Horizon Thermodynamics

All thermodynamic quantities of the Reissner–Nordström (RN) black hole can be obtained from the dilaton and its potential of two-dimensional (2D) dilaton gravity. The dual relations of four thermodynamic laws are also established. Furthermore, the near-horizon thermodynamics of the extremal RN black hole is completely described by the Jackiw–Teitelboim theory which is obtained by perturbing around the AdS2-horizon.

scholarly journals Diffeomorphisms, Noether charges, and the canonical formalism in two-dimensional dilaton gravity

1995 ◽  
Vol 52 (12) ◽  
pp. 6831-6839 ◽  
Author(s):  
José Navarro-Salas ◽  
Miguel Navarro ◽  
César F. Talavera
Keyword(s):  
Canonical Formalism ◽  
Two Dimensional ◽  
Dilaton Gravity

Sine-Gordon solitons coupled with dilaton gravity in two-dimensional spacetime

1996 ◽  
Vol 53 (2) ◽  
pp. 801-804 ◽  
Author(s):  
Hyeon-Min Johng ◽  
Hak-Soo Shin ◽  
Kwang-Sup Soh
Keyword(s):  
Two Dimensional ◽  
Dilaton Gravity ◽  
Dimensional Spacetime

Linear stability of two-dimensional steady flow in wavy-walled channels

1998 ◽  
Vol 23 (6) ◽  
pp. 349-370 ◽  
Author(s):  
Kie Joo Cho ◽  
Moon-Uhn Kim ◽  
Hyun Dong Shin
Keyword(s):  
Steady Flow ◽  
Linear Stability ◽  
Two Dimensional

scholarly journals TWO-DIMENSIONAL DESCRIPTION OF D-DIMENSIONAL STATIC BLACK HOLES WITH POINTLIKE SOURCES

2005 ◽  
Vol 20 (38) ◽  
pp. 2919-2924 ◽  
Author(s):  
MARIANO CADONI ◽  
SALVATORE MIGNEMI
Keyword(s):  
Black Holes ◽  
Gravity Model ◽  
2D Gravity ◽  
Two Dimensional ◽  
Dilaton Gravity

We derive two-dimensional (2D) solutions of a generic dilaton gravity model coupled with matter, which describe D-dimensional static black holes with pointlike sources. The equality between the mass M of the D-dimensional gravitational solution and the mass m of the source can also be preserved at the level of the 2D gravity model.

scholarly journals Two-dimensional dilaton gravity made compact

1998 ◽  
Vol 15 (11) ◽  
pp. 3479-3483
Author(s):  
Miguel Navarro
Keyword(s):  
Two Dimensional ◽  
Dilaton Gravity

scholarly journals Revisiting the Meandering Instability During Step-Flow Epitaxy

2019 ◽  
Vol 9 (22) ◽  
pp. 4840
Author(s):  
Yue Chen
Keyword(s):  
Stability Analysis ◽  
Free Boundary ◽  
Boundary Problem ◽  
Linear Stability ◽  
Free Boundary Problem ◽  
Linear Stability Analysis ◽  
Chemical Potential ◽  
Two Dimensional ◽  
Step Flow ◽  
Morphological Instabilities

This paper starts with a generalized Burton, Cabrera and Frank (BCF) model by considering the energetic contribution of the adjacent terraces to the step chemical potential. We use the linear stability analysis of the quasistatic free-boundary problem for a two-dimensional step separated by broad terraces to study the step-meandering instabilities. The results show that the equilibrium adatom coverage has influence on the morphological instabilities.

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