scholarly journals On the geodesics for a spherically symmetric dilaton black hole

1998 ◽  
pp. 55-59 ◽  
Author(s):  
C. Blaga ◽  
P.A. Blaga

In this paper we shall investigate the timelike geodesics for an extremal, spherically symmetric, massless dilaton black hole, using an exact solution obtained by Gary Horowitz.

2015 ◽  
pp. 41-48 ◽  
Author(s):  
C. Blaga

In this paper we study the timelike geodesics around a spherically symmetric charged dilaton black hole. The trajectories around the black hole are classified using the effective potential of a free test particle. This qualitative approach enables us to determine the type of orbit described by test particle without solving the equations of motion, if the parameters of the black hole and the particle are known. The connections between these parameters and the type of orbit described by the particle are obtained. To visualize the orbits we solve numerically the equation of motion for different values of parameters envolved in our analysis. The effective potential of a free test particle looks different for a non-extremal and an extremal black hole, therefore we have examined separately these two types of black holes.


1999 ◽  
Vol 08 (05) ◽  
pp. 635-643 ◽  
Author(s):  
S. YAZADJIEV

Classes of exact static solutions in four-dimensional Einstein–Maxwell-dilaton gravity are found. Besides the well-known solutions previously found in the literature, new solutions are presented. It is shown that spherically symmetric solutions, except for the case of a charged dilaton black hole, represent globally naked strong curvature singularities.


1997 ◽  
Vol 12 (27) ◽  
pp. 4831-4835 ◽  
Author(s):  
K. S. Virbhadra

We show that the well-known most general static and spherically symmetric exact solution to the Einstein-massless scalar equations given by Wyman is the same as one found by Janis, Newman and Winicour several years ago. We obtain the energy associated with this space–time and find that the total energy for the case of the purely scalar field is zero.


2009 ◽  
Vol 677 (3-4) ◽  
pp. 186-189 ◽  
Author(s):  
Jieci Wang ◽  
Qiyuan Pan ◽  
Songbai Chen ◽  
Jiliang Jing

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Shahar Hadar ◽  
Alexandru Lupsasca ◽  
Achilleas P. Porfyriadis

Abstract We study the SL(2) transformation properties of spherically symmetric perturbations of the Bertotti-Robinson universe and identify an invariant μ that characterizes the backreaction of these linear solutions. The only backreaction allowed by Birkhoff’s theorem is one that destroys the AdS2× S2 boundary and builds the exterior of an asymptotically flat Reissner-Nordström black hole with $$ Q=M\sqrt{1-\mu /4} $$ Q = M 1 − μ / 4 . We call such backreaction with boundary condition change an anabasis. We show that the addition of linear anabasis perturbations to Bertotti-Robinson may be thought of as a boundary condition that defines a connected AdS2×S2. The connected AdS2 is a nearly-AdS2 with its SL(2) broken appropriately for it to maintain connection to the asymptotically flat region of Reissner-Nordström. We perform a backreaction calculation with matter in the connected AdS2× S2 and show that it correctly captures the dynamics of the asymptotically flat black hole.


2018 ◽  
Author(s):  
Seyedeh Fatemeh Mirekhtiary ◽  
Akbar Abbasi

2006 ◽  
Vol 55 (4) ◽  
pp. 1607
Author(s):  
Liu Cheng-Zhou ◽  
Zhao Zheng

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