Black holes in models with dilaton field and electric or electric and magnetic charges

Kyriakopoulos, E.

doi:10.1088/0264-9381/23/24/027

Cited by 8 publications

(12 citation statements)

References 15 publications

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“…When a = 0 from Eqs. (46), (79) and (95), (96) we find that the axion field vanish, the dilaton field becomes singular only at r = 0 and the metric has irremovable singularity only at r = 0 [12]. From Eq.…”

Section: Physical Properties Of the Solutionmentioning

confidence: 79%

“…(3) and (4) [12] are obtained from the metric and the axion and the dilaton fields of our solution for a = 0. Also the solution given by Eqs.…”

Section: Special Cases Imentioning

confidence: 99%

“…(4) Metric and axion and dilaton fields of the solution given by Eqs. (3)and(4)of this paper ([12] Eqs. (54-57) for ψ 0…”

mentioning

confidence: 92%

“…Non-rotating black hole solutions were found recently, whose metric (for c = 0, where c is a parameter appearing in the solutions) depends on three arbitrary parameters [10][11][12]. One may ask if the rotating metric with four parameters we get if we apply to this metric the Newman-Janis trick can be the metric of a rotating black hole solution of the equations of motion coming from the action (1).…”

Section: Introductionmentioning

confidence: 99%

“…8 it is shown that for certain values of the four arbitrary parameters of our solution a number of known solutions or metrics of known solutions are obtained as special cases. These are the solution of Sen for electric charge only [4], the metric of the Kerr-Newman solution for equal electric and magnetic charges [15], the solution of Kerr [1], a metric we have found previously [10,12], the GM-GHS solution [5][6][7][8], the metric of the Reissner-Nordström solution for equal electric and magnetic charges and the Schwarzschild solution.…”

Section: Introductionmentioning

confidence: 99%

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Black holes with metric and fields of the same form

Kyriakopoulos

2011

Gen Relativ Gravit

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We present two rotating black hole solutions with axion ξ , dilaton φ and two U (1) vector fields. Starting from a non-rotating metric with three arbitrary parameters, which we have found previously, and applying the "Newman-Janis complex coordinate trick" we get a rotating metric g μν with four arbitrary parameters namely the mass M, the rotation parameter a and the charges electric Q E and magnetic Q M . Then we find a solution of the equations of motion having this g μν as metric. Our solution is asymptotically flat and has angular momentum J = Ma, gyromagnetic ratio g = 2, two horizons, the singularities of the solution of Kerr, axion and dilaton singular only when r = a cos θ = 0 etc. By applying to our solution the S-duality transformation we get a new solution, whose axion, dilaton and vector fields have one more parameter. The metrics, the vector fields and the quantity λ = ξ + ie −2φ of our solutions and the solution of: Sen for Q E , Sen for Q E and Q M , Kerr-Newman for Q E and Q M , Kerr, Reference Kyriakopoulos [Class. Quantum Grav. 23:7591, 2006, Eqs. (54-57)], Shapere, Trivedi and Wilczek, Gibbons-Maeda-Garfinkle-HorowitzStrominger, Reissner-Nordström, Schwarzschild are the same function of a, and two functions ρ 2 = r (r + b) + a 2 cos 2 θ and = r (r + b) − 2Mr + a 2 + c, of a, b and two functions for each vector field, and of a, b and d respectively, where a, b, c and d are constants. From our solutions several known solutions can be obtained for certain values of their parameters. It is shown that our two solutions satisfy the weak the dominant and the strong energy conditions outside and on the outer horizon and that all solutions with a metric of our form, whose parameters satisfy some relations satisfy also these energy conditions outside and on the outer horizon. This happens to all solutions given in the "Appendix". Mass formulae for our solutions and for all solutions which are mentioned in the paper are given. One

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Section: Physical Properties Of the Solutionmentioning

confidence: 79%

“…(3) and (4) [12] are obtained from the metric and the axion and the dilaton fields of our solution for a = 0. Also the solution given by Eqs.…”

Section: Special Cases Imentioning

confidence: 99%

“…(4) Metric and axion and dilaton fields of the solution given by Eqs. (3)and(4)of this paper ([12] Eqs. (54-57) for ψ 0…”

mentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Black holes with metric and fields of the same form

Kyriakopoulos

2011

Gen Relativ Gravit

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Dilatonic interpolation between Reissner–Nordström and Bertotti–Robinson spacetimes with physical consequences

Mazharimousavi

Halilsoy

Сакалли

et al. 2010

Class. Quantum Grav.

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We give a general class of static, spherically symmetric, non-asymptotically flat and asymptotically non-(anti) de Sitter black hole solutions in Einstein-Maxwell-Dilaton (EMD) theory of gravity in 4-dimensions. In this general study we couple a magnetic Maxwell field with a general dilaton potential, while double Liouville-type potentials are coupled with the gravity. We show that the dilatonic parameters play the key role in switching between the Bertotti-Robinson and Reissner-Nordström spacetimes. We study the stability of such black holes under a linear radial perturbation, and in this sense we find exceptional cases that the EMD black holes are unstable.In continuation we give a detailed study of the spin-weighted harmonics in dilatonic Hawking radiation spectrum and compare our results with the previously known ones. Finally, we investigate the status of resulting naked singularities of our general solution when probed with quantum test particles.We revisit the 4−dimensional Einstein-Maxwell-Dilaton (EMD) theory and show that there are still plenty of rooms available to contribute the subject. Double Liouville potential and general dilaton coupling is considered to obtain more general solutions with extra parameters and diagonal metric in the theory. From the outset we remind that, depending on the relative parameters, the double Liouville potential has the advantage of admitting local extrema and critical points. The Higgs potential also shares such features, whereas single Liouville potential lacks these properties. Double Liouville-type potentials arise also when higher-dimensional theories are compactified to 4−dimensional spacetimes and expectedly bring in further richness. All known solutions to date can be obtained [1-3] as particular limits of our general solution, and it contains new solutions as well. In the most general form our solution covers Reissner-Nordstrom (RN) type black holes and Bertotti-Robinson (BR) spacetimes interpolated within the same metric. Interpolation of two different solutions in general relativity is not a new idea [4]. Particular limits of the dilatonic parameter yield the RN and BR spacetimes. In between the two, the linear dilaton black hole (LDBH) lies for the specific choice of the parameters. It is well-known that the near horizon geometry of the extremal RN black hole yields the BR electromagnetic universe. The latter [5] is important for various reasons: It is a singularity free non-black hole solution which admits maximal symmetry and finds application in conformal field theory correspondence (i.e. AdS/ CFT). Particles in the BR universe move with uniform acceleration in a conformally flat background. These features are mostly valid not only in N = 4 but in higher dimensions (N > 4) as well. The topological structure of the BR spacetime is still AdS 2 × S N −2 in N−dimensions with the radius of S N −2 depending on the dimension of the space. Recently we have extended the Maxwell part of the BR spacetime to cover the Yang-Mills (YM) field and obtained common feature...

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Dilatonic dyon black hole solutions

Abishev

Boshkayev

Dzhunushaliev

et al. 2015

Class. Quantum Grav.

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Dilatonic black hole dyon solutions with arbitrary dilatonic coupling constant λ = 0 and canonical sign ε = +1 for scalar field kynetic term are considered. These solutions are defined up to solutions of two master equations for moduli funtions. For λ 2 = 1/2 the solutions are extended to ε = ±1, where ε = −1 corresponds to ghost (phantom) scalar field. Some physical parameters of the solutions: gravitational mass, scalar charge, Hawking temperature, black hole area entropy and parametrized post-Newtonian (PPN) parameters β and γ are obtained. It is shown that PPN parameters do not depend on scalar field coupling λ and ε. Two group of bounds on gravitational mass and scalar charge (for fixed and arbitrary extremality parameter µ > 0) are found by using a certain conjecture on parameters of solutions when 1 + 2λ 2 ε > 0. These bounds are verified numerically for certain examples. By product we are led to well-known lower bound on mass which was obtained earlier by Gibbons, Kastor, London, Townsend and Traschen by using spinor techniques.

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Black holes in models with dilaton field and electric or electric and magnetic charges

Cited by 8 publications

References 15 publications

Black holes with metric and fields of the same form

Black holes with metric and fields of the same form

Dilatonic interpolation between Reissner–Nordström and Bertotti–Robinson spacetimes with physical consequences

Dilatonic dyon black hole solutions

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