Counterterm method in Einstein dilaton gravity and the critical behavior of dilaton black holes with a power-Maxwell field

2017 ◽  
Vol 95 (8) ◽  
Author(s):  
Z. Dayyani ◽  
A. Sheykhi ◽  
M. H. Dehghani
2018 ◽  
Vol 98 (10) ◽  
Author(s):  
Zeinab Dayyani ◽  
Ahmad Sheykhi

2020 ◽  
Vol 102 (6) ◽  
Author(s):  
Amin Dehyadegari ◽  
Ahmad Sheykhi

1997 ◽  
Vol 495 (1-2) ◽  
pp. 339-362 ◽  
Author(s):  
Rong-Gen Cal ◽  
Y.S. Myung

1996 ◽  
Vol 05 (03) ◽  
pp. 251-256 ◽  
Author(s):  
A. CHAMORRO ◽  
K.S. VIRBHADRA

It is known that certain properties of charged dilaton black holes depend on a free parameter β which controls the strength of the coupling of the dilaton to the Maxwell field. We obtain the energy associated with static spherically symmetric charged dilaton black holes for arbitrary value of the coupling parameter and find that the energy distribution depends on the value of β. With increasing radial distance, the energy in a sphere increases for β=0 as well as for β<1, decreases for β>1, and remains constant for β=1. However, the total energy turns out to be the same for all values of β.


1998 ◽  
Vol 07 (05) ◽  
pp. 773-777 ◽  
Author(s):  
S. S. XULU

Chamorro and Virbhadra studied, using the energy-momentum complex of Einstein, the energy distribution associated with static spherically symmetric charged dilaton black holes for an arbitrary value of the coupling parameter γ which controls the strength of the dilaton to the Maxwell field. We study the same in Tolman's prescription and get the same result as obtained by Chamorro and Virbhadra. The energy distribution of charged dilaton black holes depends on the value of γ and the total energy is independent of this parameter.


2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Dimitrios Mitsios ◽  
Tomás Ortín ◽  
David Pereñíguez

Abstract We construct the Komar integral for axion-dilaton gravity using Wald’s formalism and momentum maps and we use it to derive a Smarr relation for stationary axion-dilaton black holes. While the Wald-Noether 2-form charge is not invariant under SL(2, ℝ) electric-magnetic duality transformations because Wald’s formalism does not account for magnetic charges and potentials, the Komar integral constructed with it turns out to be invariant and, in more general theories, it will be fully symplectic invariant. We check the Smarr formula obtained with the most general family of static axion-dilaton black holes.


2016 ◽  
Vol 93 (2) ◽  
Author(s):  
M. H. Dehghani ◽  
A. Sheykhi ◽  
Z. Dayyani

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