Gravitational field around a timelike current-carrying screwed cosmic string in scalar-tensor theories

Abstract

In this paper we obtain the space-time generated by a time-like current-carrying superconducting screwed cosmic string(TCSCS). This gravitational field is obtained in a modified scalar-tensor theory in the sense that torsion is taken into account. We show that this solution is comptible with a torsion field generated by the scalar field φ. The analysis of gravitational effects of a TCSCS shows up that the torsion effects that appear in the physical frame of Jordan-Fierz can be described in a geometric form given by contorsion term plus a symmetric part which contains the scalar gradient. As an important application of this solution, we consider the linear perturbation method developed by Zel'dovich, investigate the accretion of cold dark matter due to the formation of wakes when a TCSCS moves with speed v and discuss the role played by torsion. Our results are compared with those obtained for cosmic strings in the framework of scalar-tensor theories without taking torsion into account.

Cosmic string in gravity’s rainbow

“…It also becomes important when some types of the topological effects are needed suddenly by assigning an independent metric. In the context of modified theories of gravity, cosmic strings are investigated in f (R) gravity [58,60], teleparallel theories [61][62][63], brane worlds [64], Kaluza-Klein models [65], Lovelock Lagrangians [66], Gauss-Bonnet [67][68][69], Born-Infeld [70,71], bimetric theories [72], non-relativistic models of gravity [73], scalar-tensor theories [74][75][76][77][78][79], Brans-Dicke theory [80][81][82][83][84][85], dilation gravity [86,87], non-minimally coupled models of gravity [88], Mimetic gravity [89] and, recently, in the Bose-Einstein condensate strings [90]. However, the cosmic string is still unexplored in gravity's rainbow setting.…”

Lorentz-breaking effects in scalar-tensor theories of gravity

“…Now we have to determine the solution of Eq.(4.73). I order to do this let us follow the same procedure presented in [8,34] concerning to the supercontucting cosmic string.…”

“…In this paper, we study the cosmic string configuration in the context of scalar-tensor theories of gravity [6] with torsion [7,8,9] and analyse their role in the geometric and topological features of the cosmic string solution. A cosmic string is what is called a topological defect and corresponds to a regular, classical solution to a gauge field theory which arises when a symmetry of the theory is spontaneously broken.…”

Topological mass term in effective Brane-World scenario with torsion

“…Torsion can be related to coupling to fermionic fields [5], alternatively it can be associated with a scalar field gradient for bosons in scalar tensor theories [6,7] or to a rank 2 antisymmetric Kalb-Ramond tensor field as in [3,8].…”