Ozay Gurtug

2+1-dimensional electrically charged black holes in Einstein - Power Maxwell Theory

A large family of new black hole solutions in 2+1-dimensional Einstein-Power-Maxwell (EPM) gravity with prescribed physical properties is derived. We show with particular examples that according to the power parameter k of the Maxwell field, the obtained solutions may be asymptotically flat for 1/2 1 in the vanishing cosmological constant limit. We study the thermodynamic properties of the solution with two different models and it is shown that thermodynamic quantities satisfy the first law. The behaviour of the heat capacity indicates that by employing the 1+1-dimensional dilaton analogy the local thermodynamic stability is satisfied.

Dilatonic interpolation between Reissner-Nordstrom and Bertotti-Robinson spacetimes with physical consequences

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 four dimensions. In this general study we couple a magnetic Maxwell field with a general dilaton potential, while double Liouville-type potentials are coupled with gravity. We show that the dilatonic parameters play a key role in switching between the Bertotti–Robinson and Reissner–Nordstrom spacetimes. We study the stability of such black holes under a linear radial perturbation, and in this sense we find exceptional cases where the EMD black holes are unstable. In continuation, we give a detailed study of the spin-weighted harmonics in the dilatonic Hawking radiation spectrum and compare our results with previously known ones. Finally, we investigate the status of resulting naked singularities of our general solution when probed with quantum test particles.

2+1 dimensional magnetically charged solutions in Einstein - Power - Maxwell theory

We obtain a class of magnetically charged solutions in 2+1 dimensional Einstein - Power - Maxwell theory. In the linear Maxwell limit, such horizonless solutions are known to exist. We show that in 3D geometry, black hole solutions with magnetic charge does not exist even if it is sourced by power-Maxwell field. Physical properties of the solution with particular power k of the Maxwell field is investigated. The true timelike naked curvature singularity develops when k>1 which constitutes one of the striking effects of the power Maxwell field. For specific power parameter k, the occurrence of timelike naked singularity is analysed in quantum mechanical point of view. Quantum test fields obeying the Klein - Gordon and the Dirac equations are used to probe the singularity. It is shown that the class of static pure magnetic spacetime in the power Maxwell theory is quantum mechanically singular when it is probed with fields obeying Klein-Gordon and Dirac equations in the generic case.

A new Einstein-nonlinear electrodynamics solution in 2+1-dimensions

We introduce a class of solutions in

Generating Static Spherically Symmetric Black-holes in Lovelock Gravity

2+1

Quantum singularities in a model of f ( R ) gravity

2+1-dimensional Einstein–Power–Maxwell theory for a circularly symmetric electric field. The electromagnetic field is considered with an angular component given by

Quantum probes of timelike naked singularities in the weak field regime of f (R) global monopole spacetime

F_{\mu \nu }=E_{0}\delta _{\mu }^{t}\delta _{\nu }^{\theta }