Hawking–Hayward quasi-local energy under conformal transformations

Geometry of Two-Qubit State and Intertwining Quaternionic Conformal Mapping Under Local Unitary Transformations

In this paper the geometry of two-qubit systems under local unitary group SO(2) ⊗ SU(2) is discussed. It is shown that the quaternionic conformal map intertwines between this local unitary subgroup of Sp(2) and the quaternionic Möbius transformation which is rather a generalization of the results of Lee et al (2002 Quantum Inf. Process. 1 129).

Slice Energy in Higher Order Gravity Theories and Conformal Transformations

We show that there is a generic transport of energy between the scalar field generated by the conformal transformation of higher order gravity theories and the matter component. We give precise relations of this exchange and show that, unless we are in a stationary spacetime, slice energy is not generically conserved. These results translate into statements about the relative behaviour of ordin...

Spacetimes admitting quasi-conformal curvature tensor

‎The object of the present paper is to study spacetimes admitting‎ ‎quasi-conformal curvature tensor‎. ‎At first we prove that a quasi-conformally flat spacetime is Einstein‎ ‎and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying‎ ‎Einstein's field equation with cosmological constant is covariant constant‎. ‎Next‎, ‎we prove that if the perfect flui...

Multipartite states under local unitary transformations

The equivalence problem under local unitary transformation for n–partite pure states is reduced to the one for (n− 1)–partite mixed states. In particular, a tripartite system HA⊗HB ⊗HC , where Hj is a finite dimensional complex Hilbert space for j = A,B,C, is considered and a set of invariants under local transformations is introduced, which is complete for the set of states whose partial trace...

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles