Zobrazeno 1 - 10
of 168
pro vyhledávání: '"Batić D"'
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 shifts the debate in favour of regular black holes at the centre. The prese
Externí odkaz:
http://arxiv.org/abs/2311.11291
Publikováno v:
Heliyon 9 (2023) e19828
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 and all three solutions exhibit naked singularities. Our results furthe
Externí odkaz:
http://arxiv.org/abs/2309.10543
Publikováno v:
Modern Physics Letters A, 2023
We show how the Gambier equation arises in connection to Friedmann-Lema$\mbox{\^{i}}$tre-Robertson-Walker (FLRW) cosmology and a Dark Matter equation of state. Moreover, we provide a correspondence between the Friedmann equations and the Gambier equa
Externí odkaz:
http://arxiv.org/abs/2305.08364
Publikováno v:
European Journal of Physics C (2022) 82:422
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 and without spherical symmetry. A general formula for the deflection ang
Externí odkaz:
http://arxiv.org/abs/2205.05308
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-uniform part which involves derivatives of the electric and magnetic f
Externí odkaz:
http://arxiv.org/abs/2012.02664
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 are derived for the orbital radius and the corresponding opening angle f
Externí odkaz:
http://arxiv.org/abs/2006.03376
Publikováno v:
Eur. Phys. Lett. 117, (2017) 60006
Motivated by quantum mechanical corrections to the Newtonian potential, which can be translated into an $\hbar$-correction to the $g_{00}$ component of the Schwarzschild metric, we construct a quantum mechanically corrected metric assuming $-g_{00}=g
Externí odkaz:
http://arxiv.org/abs/1605.06463
Publikováno v:
Gravitation and Cosmology 24 (3) 224-244 (2018)
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 cosmological horizons we adopt the Carter tetrad to separate the aforemen
Externí odkaz:
http://arxiv.org/abs/1509.00452
Publikováno v:
In Annals of Physics May 2020 416
Since the advent of quantum mechanics different approaches to find analytical solutions of the Schr\"odinger equation have been successfully developed. Here we follow and generalize the approach pioneered by Natanzon and others by which the Schr\"odi
Externí odkaz:
http://arxiv.org/abs/1412.3847