Publications (24)
Noncommutative geometry-inspired wormholes supported by quasi-de Sitter and Chaplygin-like equations of state
D. Batic, D. Dutykh, M. Essa Sukaiti
We construct static, spherically symmetric wormhole solutions with a nontrivial redshift function, inspired by noncommutative geometry, in which point sources are replaced by Gauss…
A comment on singular and non-singular black holes using the Gaussian distribution
D. Batic, M. Nowakowski, S. A. Salim
In this work, we join the controversial discussion on singular and non-singular black holes using the Gaussian distribution. Our result which uses correct boundary conditions shift…
Coulomb Law in the Non-Uniform Euler-Heisenberg Theory
A. D. Bermúdez Manjarres, M. Nowakowski, D. Batic
We consider the non-linear classical field theory which results from adding to the Maxwell's Lagrangian the contributions from the weak-field Euler-Heisenberg Lagrangian and a non-…
Light on curved backgrounds
D. Batic, S. Nelson, M. Nowakowski
We consider the motion of light on different spacetime manifolds by calculating the deflection angle, lensing properties and by probing into the possibility of bound states. The me…
The Dirac propagator in the Kerr-Newman metric
D. Batic, H. Schmid
We give an alternative proof of the completeness of the Chandrasekhar ansatz for the Dirac equation in the Kerr-Newman metric. Based on this, we derive an integral representation f…
Light bending in a two black hole metric
M. Alrais Alawadi, D. Batic, M. Nowakowski
We discuss the propagation of light in the C-metric. We discover that null geodesics admit circular orbits only for a certain family of orbital cones. Explicit analytic formulae ar…
Potentials of the Heun class: the triconfluent case
D. Batic, D. Mills-Howell, M. Nowakowski
Since the advent of quantum mechanics different approaches to find analytical solutions of the Schrödinger equation have been successfully developed. Here we follow and generalize…
Chandrasekhar separation ansatz and the generalized total angular momentum for the Dirac equation in the Kerr-Newman metric
D. Batic, H. Schmid
In this paper we compute the square root of the generalized squared total angular momentum operator for a Dirac particle in the Kerr-Newman metric. The separation constant …
Orbiting phenomena in black hole scattering
D. Batic, N. G. Kelkar, M. Nowakowski
Rainbow, glory and orbiting scattering are usually described by the properties of the classical deflection function related to the real part of the quantum mechanical scattering ph…
Scattering for massive Dirac fields on the Kerr metric
D. Batic
Starting with the Dirac equation outside the event horizon of a non-extreme Kerr black hole, we develop a time-dependent scattering theory for massive Dirac particles. The explicit…
Axisymmetric Solutions to Einstein Field Equations via Integral Transforms
D. Batic, N. B. Debru, M. Nowakowski
In this paper, we present new axisymmetric and reflection symmetric vacuum solutions to the Einstein field equations. They are obtained using the Hankel integral transform method a…
Heun equation, Teukolsky equation, and type-D metrics
D. Batic, H. Schmid
Starting with the whole class of type-D vacuum backgrounds with cosmological constant we show that the separated Teukolsky equation for zero rest-mass fields with spin (g…
On Born approximation in black hole scattering
D. Batic, N. G. Kelkar, M. Nowakowski
A massless field propagating on spherically symmetric black hole metrics such as the Schwarzschild, Reissner-Nordström and Reissner-Nordström-de Sitter backgrounds is considered.…
Velocity and velocity bounds in static spherically symmetric metrics
I. Arraut, D. Batic, M. Nowakowski
We find simple expressions for velocity of massless particles in dependence of the distance in Schwarzschild coordinates. For massive particles these expressions put an upper b…
Comment on "Quasinormal modes in Schwarzschild-de Sitter spacetime: A simple derivation of the level spacing of the frequencies"
D. Batic, N. G. Kelkar, M. Nowakowski
It is shown here that the extraction of quasinormal modes (QNMs) within the first Born approximation of the scattering amplitude is mathematically not well founded. Indeed, the con…
The Dirac propagator in the extreme Kerr metric
D. Batic, H. Schmid
Starting with the Dirac equation in the extreme Kerr metric we derive an integral representation for the propagator of solutions of the Cauchy problem with initial data in the clas…
Maximal extension of the Schwarzschild spacetime inspired by noncommutative geometry
I. Arraut, D. Batic, M. Nowakowski
We derive a transformation of the noncommutative geometry inspired Schwarzschild solution into new coordinates such that the apparent unphysical singularities of the metric are rem…
Emergence of the Gambier equation in cosmology
D. Batic, P. Guha, A. Ghose Choudhury
We show how the Gambier equation arises in connection to Friedmann-Lema$\mbox{î}$tre-Robertson-Walker (FLRW) cosmology and a Dark Matter equation of state. Moreover, we provide a…
On the existence of certain axisymmetric interior metrics
C. Angulo Santacruz, D. Batic, M. Nowakowski
One of the effects of noncommutative coordinate operators is that the delta-function connected to the quantum mechanical amplitude between states sharp to the position operator get…
Optical properties of null geodesics emerging from dynamical systems
D. Batic, S. Chanda, P. Guha
We study optical metrics via null geodesics as a central force system, deduce the related Binet equation and apply the analysis to certain solutions of Einstein's equations with an…
The repulsive nature of naked singularities from the point of view of Quantum Mechanics
D. Batic, M. Nowakowski
We use the Dirac equation coupled to a background metric to examine what happens to quantum mechanical observables like the probability density and the radial current in the vicini…
Quantum Mechanical Corrections to the Schwarzschild Black Hole Metric
P. Bargueño, S. Bravo Medina, M. Nowakowski +1
Motivated by quantum mechanical corrections to the Newtonian potential, which can be translated into an -correction to the component of the Schwarzschild metric, we…
Comparing two approaches to Hawking radiation of Schwarzschild-de Sitter black holes
I. Arraut, D. Batic, M. Nowakowski
We study two different ways to analyze the Hawking evaporation of a Schwarzschild-de Sitter black hole. The first one uses the standard approach of surface gravity evaluated at the…
The Dirac equation in the Kerr-de Sitter metric
D. Batic, K. Morgan, M. Nowakowski +1
We consider a fermion in the presence of a rotating black hole immersed in a universe with positive cosmological constant. After deriving new formulae for the event, Cauchy and cos…