Aspects of gravitational wave/particle duality: Bulk torsion ↔boundary gravity correspondence

Abstract

A geometric torsion (GT) underlying a 2-form in a (4+1)-dimensional U (1) gauge theory is revisited with a renewed perspective for a non-perturbation (NP) gravity in d=4. In the context we provide evidences to a holographic correspondence between

Exact Geometries from Boundary Gravity

“…In this article we have revisited a correspondence between the 5D bulk U (1) gauge theory and a boundary gravity [18] with a renewed interest. It was shown that the boundary gravity dynamics comprises GR and a topological BF term which in turn describes a mass dipole correction to GR.…”

“…A promising theoretical idea relating a bulk B µν field theory to a boundary gravity [18] is believed to be insightful to a theory of quantum gravity. The boundary action comprises a local sector GR and a global sector which turns out to be topological.…”

“…Remarkably the precise curvature on the boundary theory has been argued to map to R under a proposed correspondence between the bulk GT and boundary GR [17,18]. In fact the bulk/boundary gravity correspondence was primarily based on two key evidences and they are: (i) K µνλρ shares both the symmetry properties of R µνλρ under the interchange of Lorentz indices independently and in pairs though they are respectively sourced by B µν field and metric field [12] and (ii) generically the PDF of a B µν field in bulk is always one degree higher than that of a metric field on the boundary [18]. Thus with a bulk/boundary correspondence, the second term ensures a Ricci like scalar K and may be identified with R. With a subtlety the boundary action becomes…”

“…In this article we revisit a GT description underlying a 5D bulk gauge theory with a renewed interest for a boundary gravity [17,18]. A topological BF term is argued to incorporate the winding modes in gravity.…”

Tunneling of rotational black string with nonlinear electromagnetic fields

“…Non-metricity may also play a role in conformal gravity. Finally, we will confine ourselves to the domain of classical gravity [42]. The field equations are obtained by mutating the action (1) with respect to the g μν and the A μ as:…”