scholarly journals Exactly solvable models of 2D dilaton gravity

2007 ◽  
Vol 11 (1) ◽  
pp. 63-73
Author(s):  
O. B. Zaslavskii
Keyword(s):  
Exactly Solvable Models ◽  
Dilaton Gravity ◽  
Solvable Models ◽  
Exactly Solvable

scholarly journals CLASSIFICATION OF STATIC AND HOMOGENEOUS SOLUTIONS IN EXACTLY SOLVABLE MODELS OF TWO-DIMENSIONAL DILATON GRAVITY

2003 ◽  
Vol 18 (26) ◽  
pp. 4837-4850 ◽  
Author(s):  
O. B. ZASLAVSKII
Keyword(s):  
Exactly Solvable Models ◽  
Dilaton Field ◽  
Dilaton Gravity ◽  
Solvable Models ◽  
Field Equations ◽  
Homogeneous Solutions ◽  
Conformal Fields ◽  
Exactly Solvable ◽  
Wide Family

We give the full list of types of static (homogeneous) solutions within a wide family of exactly solvable 2D dilaton gravities with backreaction of conformal fields. It includes previously known solutions as particular cases. Several concrete examples are considered for illustration. They contain a black hole and cosmological horizon in thermal equilibrium, extremal and ultraextremal horizons, etc. In particular, we demonstrate that AdS and dS geometries can be exact solutions of semiclassical field equations for a nonconstant dilaton field.

scholarly journals BOULWARE STATE IN EXACTLY SOLVABLE MODELS OF 2D DILATON GRAVITY

2006 ◽  
Vol 21 (30) ◽  
pp. 2283-2290
Author(s):  
O. B. ZASLAVSKII
Keyword(s):  
Numerical Methods ◽  
Exact Solutions ◽  
Back Reaction ◽  
Exactly Solvable Models ◽  
Dilaton Gravity ◽  
Solvable Models ◽  
Exactly Solvable ◽  
Self Consistent ◽  
Classical Singularity ◽  
And Behavior

We discuss self-consistent geometries and behavior of dilaton in exactly solvable models of 2D dilaton gravity, with quantum fields in the Boulware state. If the coupling H(ϕ) between curvature and dilaton ϕ is non-monotonic, back-reaction can remove the classical singularity. As a result, an everywhere regular star-like configuration may appear, in which case the Boulware state, contrary to expectations, smooths out the system. For monotonic H(ϕ), exact solutions confirm the features found before with the help of numerical methods: the appearance of the bouncing point and the presence of isotropic singularity at the classically forbidden branch of the dilaton.

scholarly journals Interaction between Different Kinds of Quantum Phase Transitions

2021 ◽  
Vol 3 (2) ◽  
pp. 253-261
Author(s):  
Angel Ricardo Plastino ◽  
Gustavo Luis Ferri ◽  
Angelo Plastino
Keyword(s):  
Phase Transitions ◽  
Nuclear Physics ◽  
Body Problem ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Exactly Solvable Models ◽  
Solvable Models ◽  
Many Body ◽  
Pairing Interaction ◽  
Exactly Solvable

We employ two different Lipkin-like, exactly solvable models so as to display features of the competition between different fermion–fermion quantum interactions (at finite temperatures). One of our two interactions mimics the pairing interaction responsible for superconductivity. The other interaction is a monopole one that resembles the so-called quadrupole one, much used in nuclear physics as a residual interaction. The pairing versus monopole effects here observed afford for some interesting insights into the intricacies of the quantum many body problem, in particular with regards to so-called quantum phase transitions (strictly, level crossings).

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