Strings in gravity with torsion

Abstract

A theory of gravitation in 4D is presented with strings used in the material action in $U_4$ spacetime. It is shown that the string naturally gives rise to torsion. It is also shown that the equation of motion a string follows from the Bianchi identity, gives the identical result as the Noether conservation laws, and follows a geodesic only in the lowest order approximation. In addition, the conservation laws show that strings naturally have spin, which arises not from their motion but from their one dimensional structure.

16 pages

References in corpus (3)

• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• An Einstein-Hilbert Action for Axi-Dilaton Gravity in 4-Dimensions
• Scattering of Straight Cosmic Strings by Black Holes: Weak Field Approximation

Cited by in corpus (5)

• Constraining Torsion in Maximally symmetric (sub)spaces
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
• Effective Equations on the 3-Brane World from Type IIB String
• Emergent gravity and D-brane adiabatic dynamics: emergent Lorentz connection