scholarly journals Exactly solvable models of two-dimensional dilaton gravity and quantum eternal black holes

1999 ◽  
Vol 59 (8) ◽  
Author(s):  
O. Zaslavskii
Keyword(s):  
Black Holes ◽  
Exactly Solvable Models ◽  
Two Dimensional ◽  
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.

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