D Grumiller and D Mayerhofer 2004 Class. Quantum Grav. 21 5893 doi:10.1088/0264-9381/21/24/012
D Grumiller1,2 and D Mayerhofer1
Show affiliationsWithin the first-order formalism static solutions of generic dilaton gravity in 2D with self-interacting (scalar) matter can be discussed with ease. The question of (non)existence of Killing horizons is addressed and the interplay with asymptotic conditions is investigated. Naturally, such an analysis has to be a global one. A central element in the discussion is the rank of the Jacobi matrix of the underlying dynamical system. With some (pathological) exceptions Killing horizons exist only if it equals 3. For certain self-interactions asymptotically flat black holes with scalar hair do exist. An example relevant to general relativity is provided. Finally, generalizations are addressed including 2D type 0A string theory as a particular example. Additionally, in a pedagogical appendix the mass definition in dilaton gravity is briefly reviewed and a unique prescription to fix scaling and shift ambiguity is presented.
04.20.-q Classical general relativity
Issue 24 (21 December 2004)
Received 12 July 2004
Published 25 November 2004
D Grumiller and D Mayerhofer 2004 Class. Quantum Grav. 21 5893
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