Induced rotation from de Sitter–Gödel–de Sitter phase transition

Abstract

Rotation of the cosmic objects is a universal phenomenon and it's origin is still an open question. Here a model for the origin of rotation is presented. After investigation of the phase transition of a scalar field in de-Sitter and Gödel backgrounds, the motion of a test particle during the phase transitions is studied. Then using computer simulation for a congruence of particles, we have shown that although the local induced rotation is non-zero, the global rotation is below the observational limit.

Ground state of a bosonic massive charged particle in the presence of external fields in a Gödel-type spacetime

“…As pointed out in Ref. [28], such condition (17) gives rise to a quantum condition between the energy eigenvalues and the frequency of the model. In our case, the frequency is characterized by the vorticity Ω of the spacetime.…”

Casimir force in the Gödel space-time and its possible induced cosmological inhomogeneity

“…Therefore it is possible to have a sequence of phase transitions from de Sitter to Gödel and back to de Sitter spacetime. As is shown in [10], using the motion of a test particle and for a congruence of particles, it is seen that although the local induced rotation is of order of √ c, the global rotation is below the observational limit. This gives this scenario the ability to describe local rotation of galaxies without conflicting with the observed limit on the global rotation.…”

“…As is shown in [10], the cooling of the universe that is needed to go to the Gödel phase is achieved via expansion and the critical temperature is given by the relation d 2 V eff dφ 2 | φ=0 = 0. Then in the Gödel phase, slow rolling takest seconds, given bỹ A typical scenario of the universe going through de Sitter, Gödel and de Sitter phases.…”

“…Then in the Gödel phase, slow rolling takest seconds, given bỹ A typical scenario of the universe going through de Sitter, Gödel and de Sitter phases. See [10] We have shown in [10] that being in the Gödel phase for t seconds induces some amount of rotation in the motion of test particles which is of order √ . The induced rotation on a congruence of 1.5 × 10 5 particles is simulated in (Fig.…”

“…In the simulation of the induced rotation of the mentioned scenario, a uniform distribution of a large number (of order of 10 5 ) of particles having a Gaussian distribution in the initial velocity has been considered and the result shows the local induced rotation is non-zero (see Fig. 6 of [10]). Dividing the space into adjacent cells, due to the fact that the quantum tunneling may happen with a probability, each cell may or may not experience the phase transition.…”