scholarly journals A NOTE ON TWO-DIMENSIONAL DILATON GRAVITY WITH NON-SMOOTH POTENTIALS

2005 ◽  
Vol 20 (14) ◽  
pp. 1057-1064
Author(s):  
CHRISTIAN G. BÖHMER ◽  
PIOTR BRONOWSKI
Keyword(s):  
Exact Solutions ◽  
Brane World ◽  
Two Dimensional ◽  
Dilaton Gravity ◽  
First Order ◽  
Recent Interest ◽  
Different Types ◽  
Gravity Theories

Recent interest in brane world models motivates the investigation of generic first-order dilaton gravity actions, with potentials having some non-smoothness. We consider two different types of δ-like contributions in the action and analyse their effects on the solutions. Furthermore a second source of non-smoothness arises due to the remaining ambiguities in the solutions in the separated smooth patches, after fixing all other constants by matching and asymptotic conditions. If moreover staticity is assumed, we explicitly construct exact solutions. With the methods described, for example models with point like sources or brane world models (where the second source of non-smoothness becomes crucial), can now be treated as non-smooth dilaton gravity theories.

scholarly journals A NOTE ON WEYL TRANSFORMATIONS IN TWO-DIMENSIONAL DILATON GRAVITY

2000 ◽  
Vol 15 (34) ◽  
pp. 2113-2118 ◽  
Author(s):  
MARCO CAVAGLIÀ
Keyword(s):  
Conformal Transformations ◽  
Two Dimensional ◽  
Dilaton Gravity ◽  
Gravity Theories

We discuss Weyl (conformal) transformations in two-dimensional matterless dilaton gravity. We argue that both classical and quantum dilaton gravity theories are invariant under Weyl transformations.

scholarly journals The Periodic Solutions to Kawahara Equation by Means of the Auxiliary Equation with a Sixth-Degree Nonlinear Term

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Zehra Pınar ◽  
Turgut Öziş
Keyword(s):  
Exact Solutions ◽  
Nonlinear Equations ◽  
Nonlinear Term ◽  
Travelling Wave ◽  
Nonlinear Ordinary Differential Equation ◽  
Auxiliary Equation ◽  
Travelling Wave Solutions ◽  
Kawahara Equation ◽  
First Order ◽  
Different Types

It is well known that different types of exact solutions of an auxiliary equation produce new types of exact travelling wave solutions to nonlinear equations. In this paper, by means of symbolic computation, the new solutions of original auxiliary equation of first-order nonlinear ordinary differential equation with a sixth-degree nonlinear term are presented to obtain novel exact solutions of the Kawahara equation. By the aid of the solutions of the original auxiliary equation, some other physically important nonlinear equations can be solved to construct novel exact solutions.

scholarly journals A NON-DEGENERATE SEMICLASSICAL LAGRANGIAN FOR DILATON-GRAVITY IN TWO DIMENSIONS

1992 ◽  
Vol 07 (33) ◽  
pp. 3071-3079 ◽  
Author(s):  
NOUREDDINE MOHAMMEDI
Keyword(s):  
Black Holes ◽  
Exact Solutions ◽  
Equations Of Motion ◽  
Two Dimensions ◽  
Singular Solutions ◽  
Two Dimensional ◽  
Semiclassical Theory ◽  
Dilaton Gravity ◽  
Dimensional Gravity ◽  
Matter Fields

An action for two-dimensional gravity conformally coupled to two dilaton-type fields is analyzed. Classically, the theory has some exact solutions. These include configurations representing black holes. A semiclassical theory is obtained by assuming that these singular solutions are caused by the collapse of some matter fields. The semiclassical equations of motion reveal then that any generic solution must have a flat geometry.

scholarly journals On thermodynamics of 2D black holes in brane inflationary potentials

2014 ◽  
Vol 11 (05) ◽  
pp. 1450047 ◽  
Author(s):  
A. Belhaj ◽  
M. Chabab ◽  
H. El Moumni ◽  
M. B. Sedra ◽  
A. Segui
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Solution ◽  
Brane World ◽  
Two Dimensional ◽  
Dilaton Gravity ◽  
De Sitter ◽  
Asymptotic Behaviors ◽  
Dimensional Black Hole ◽  
Hole Geometry

Inspired from the inflation brane world cosmology, we study the thermodynamics of a black hole solution in two-dimensional dilaton gravity with an arctangent potential background. We first derive the two-dimensional black hole geometry, then we examine its asymptotic behaviors. More precisely, we find that such behaviors exhibit properties appearing in some known cases including the anti-de Sitter and the Schwarzschild black holes. Using the complex path method, we compute the Hawking radiation. The entropy function can be related to the value of the potential at the horizon.

Post-Non-Classical World View in the On-Screen Reality of the Digital Epoch

2015 ◽  
pp. 4-12
Author(s):  
Elena V. Nikolaeva
Keyword(s):  
World View ◽  
Dynamic Chaos ◽  
Digital Culture ◽  
Fractal Nature ◽  
Late 20Th Century ◽  
First Order ◽  
Classical World ◽  
Different Types ◽  
Strange Loops ◽  
Cultural World

The article analyzes the correlation between the screen reality and the first-order reality in the digital culture. Specific concepts of the scientific paradigm of the late 20th century are considered as constituent principles of the on-screen reality of the digital epoch. The study proves that the post-non-classical cultural world view, emerging from the dynamic “chaos” of informational and semantic rows of TV programs and cinematographic narrations, is of a fractal nature. The article investigates different types of fractality of the TV content and film plots, their inner and outer “strange loops” and artistic interpretations of the “butterfly effect”.

scholarly journals Solving puzzles in deformed JT gravity: phase transitions and non-perturbative effects

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Clifford V. Johnson ◽  
Felipe Rosso
Keyword(s):  
Phase Structure ◽  
Scalar Potential ◽  
String Equation ◽  
Two Dimensional ◽  
Leading Order ◽  
Classical Analysis ◽  
First Order ◽  
First Order Phase Transition ◽  
Definition Of ◽  
First Order Phase

Abstract Recent work has shown that certain deformations of the scalar potential in Jackiw-Teitelboim gravity can be written as double-scaled matrix models. However, some of the deformations exhibit an apparent breakdown of unitarity in the form of a negative spectral density at disc order. We show here that the source of the problem is the presence of a multi-valued solution of the leading order matrix model string equation. While for a class of deformations we fix the problem by identifying a first order phase transition, for others we show that the theory is both perturbatively and non-perturbatively inconsistent. Aspects of the phase structure of the deformations are mapped out, using methods known to supply a non-perturbative definition of undeformed JT gravity. Some features are in qualitative agreement with a semi-classical analysis of the phase structure of two-dimensional black holes in these deformed theories.

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