Zobrazeno 1 - 10
of 189
pro vyhledávání: '"Popławski, Nikodem"'
Autor:
Popławski, Nikodem
We determine the angle of deflection of light by the gravitational field inside and outside a spherical body with a homogeneous mass density. We show that the largest deflections, which can be measured by weak gravitational lensing, are in a region d
Externí odkaz:
http://arxiv.org/abs/2407.10248
Autor:
Popławski, Nikodem
The McVittie metric does not describe a physical black hole in an expanding universe because the curvature scalar and pressure at its event horizon are infinite. We show that extending this metric to an inhomogeneous scale factor, which depends on bo
Externí odkaz:
http://arxiv.org/abs/2405.16673
Autor:
Popławski, Nikodem
We consider gravitational collapse of a sphere of a fluid with torsion generated by spin, which forms a black hole. We use the Tolman metric and the Einstein$-$Cartan field equations with a relativistic spin fluid as a source. We show that gravitatio
Externí odkaz:
http://arxiv.org/abs/2307.12190
Publikováno v:
Class. Quantum Grav. 41, 065011 (2024)
We propose that the four-velocity of a Dirac particle is related to its relativistic wave function by $u^i=\bar{\psi}\gamma^i\psi/\bar{\psi}\psi$. This relativistic wave$-$particle duality relation is demonstrated for a free particle related to a pla
Externí odkaz:
http://arxiv.org/abs/2211.03234
The Born rule postulates that the probability of measurement in quantum mechanics is related to the squared modulus of the wave function $\psi$. We rearrange the equation for energy eigenfunctions to define the energy as the real part of $\hat{E}\psi
Externí odkaz:
http://arxiv.org/abs/2110.06392
In the presence of spacetime torsion, the momentum components do not commute; therefore, in quantum field theory, summation over the momentum eigenvalues will replace integration over the momentum. In the Einstein--Cartan theory of gravity, in which
Externí odkaz:
http://arxiv.org/abs/2107.01612
Autor:
Popławski, Nikodem
We propose that relativistic wave--particle duality can be embodied in a relation $\langle u^i\rangle=\bar{\psi}\gamma^i\psi/\bar{\psi}\psi$, which determines the mean four-velocity of the fermion particle associated with a Dirac wave function. We us
Externí odkaz:
http://arxiv.org/abs/2101.04212
Autor:
Popławski, Nikodem
Publikováno v:
Zh. Eksp. Teor. Fiz. 159, 448 (2021); J. Exp. Theor. Phys. 132, 374 (2021)
We consider gravitational collapse of a spherically symmetric sphere of a fluid with spin and torsion into a black hole. We use the Tolman metric and the Einstein--Cartan field equations with a relativistic spin fluid as a source. We show that gravit
Externí odkaz:
http://arxiv.org/abs/2008.02136
Autor:
Popławski, Nikodem
Publikováno v:
Gen. Relativ. Gravit. 53, 18 (2021)
We consider a universe formed in a black hole in the Einstein--Cartan theory of gravity. The interior of a Schwarzschild black hole can be represented by the Kantowski--Sachs metric that describes a closed anisotropic universe. We use this metric to
Externí odkaz:
http://arxiv.org/abs/2007.11556
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