41 research outputs found
Two Dimensional Fractional Supersymmetry from the Quantum Poincare Group at Roots of Unity
A group theoretical understanding of the two dimensional fractional
supersymmetry is given in terms of the quantum Poincare group at roots of
unity. The fractional supersymmetry algebra and the quantum group dual to it
are presented and the pseudo-unitary, irreducible representations of them are
obtained. The matrix elements of these representations are explicitly
constructed.Comment: 10 pages. Some misprints are corrected. To appear in J. Phys.
Summation Formulas for the product of the q-Kummer Functions from
Using the representation of E_q(2) on the non-commutative space
zz^*-qz^*z=\sigma; q0 summation formulas for the product of two,
three and four q-Kummer functions are derived.Comment: Latex, 8 page
Particle Motion around Black Hole in Horava-Lifshitz Gravity
Analytical solutions of Maxwell equations around black hole immersed in
external uniform magnetic field in the background of the Kehagias-Sfetsos (KS)
asymptotically flat black hole solution of Ho\v{r}ava-Lifshitz gravity have
been found. Influence of magnetic field on effective potential of the radial
motion of charged test particle around black hole immersed in external magnetic
field in Ho\v{r}ava-Lifshitz gravity has been investigated by using
Hamilton-Jacobi method. Exact analytical solution for dependence of the minimal
radius of the circular orbits from KS parameter for
motion of test particle around spherical symmetric black hole in
Ho\v{r}ava-Lifshitz gravity has been derived. The critical values of the
particle's angular momentum for captured particles by black hole in
Ho\v{r}ava-Lifshitz gravity have been obtained numerically. The comparison of
the obtained numerical results with the astrophysical observational data on
radii of the innermost stable circular orbits gives us the estimation of the
parameter as .Comment: 6 pages, 8 figures, 1 table, Accepted for publication in Physical
Review
Quadratic Curvature Gravity with Second Order Trace and Massive Gravity Models in Three Dimensions
The quadratic curvature lagrangians having metric field equations with second
order trace are constructed relative to an orthonormal coframe. In
dimensions, pure quadratic curvature lagrangian having second order trace
constructed contains three free parameters in the most general case. The fourth
order field equations of some of these models, in arbitrary dimensions, are
cast in a particular form using the Schouten tensor. As a consequence, the
field equations for the New massive gravity theory are related to those of the
Topologically massive gravity. In particular, the conditions under which the
latter is "square root" of the former are presented.Comment: 24 pages, to appear in GR
External Electromagnetic Fields of a Slowly Rotating Magnetized Star with Gravitomagnetic Charge
We study Maxwell equations in the external background spacetime of a slowly
rotating magnetized NUT star and find analytical solutions for the exterior
electric fields after separating the equations of electric field into angular
and radial parts in the lowest order approximation. The star is considered
isolated and in vacuum, with dipolar magnetic field aligned with the axis of
rotation. The contribution to the external electric field of star from the NUT
charge is considered in detail.Comment: 6 pages, 2 figures, accepted for publication in Astrophysics and
Space Scienc
Particle Motion and Electromagnetic Fields of Rotating Compact Gravitating Objects with Gravitomagnetic Charge
The exact solution for the electromagnetic field occuring when the
Kerr-Taub-NUT compact object is immersed (i) in an originally uniform magnetic
field aligned along the axis of axial symmetry (ii) in dipolar magnetic field
generated by current loop has been investigated. Effective potential of motion
of charged test particle around Kerr-Taub-NUT gravitational source immersed in
magnetic field with different values of external magnetic field and NUT
parameter has been also investigated. In both cases presence of NUT parameter
and magnetic field shifts stable circular orbits in the direction of the
central gravitating object. Finally we find analytical solutions of Maxwell
equations in the external background spacetime of a slowly rotating magnetized
NUT star. The star is considered isolated and in vacuum, with monopolar
configuration model for the stellar magnetic field.Comment: 18 pages, 6 figures, new results in section 2 added, section 3 is
revised, 3 references are adde
Quantum Hall Effect Wave Functions as Cyclic Representations of U_q(sl(2))
Quantum Hall effect wave functions corresponding to the filling factors
1/2p+1, 2/2p+1, ..., 2p/2p+1, 1, are shown to form a basis of irreducible
cyclic representation of the quantum algebra U_q(sl(2)) at q^{2p+1}=1. Thus,
the wave functions \Psi_{P/Q} possessing filling factors P/Q<1 where Q is odd
and P, Q are relatively prime integers are classified in terms of U_q(sl(2)).Comment: Version to appear in Jour. Phys.
A Unified Approach to Variational Derivatives of Modified Gravitational Actions
Our main aim in this paper is to promote the coframe variational method as a
unified approach to derive field equations for any given gravitational action
containing the algebraic functions of the scalars constructed from the Riemann
curvature tensor and its contractions. We are able to derive a master equation
which expresses the variational derivatives of the generalized gravitational
actions in terms of the variational derivatives of its constituent curvature
scalars. Using the Lagrange multiplier method relative to an orthonormal
coframe, we investigate the variational procedures for modified gravitational
Lagrangian densities in spacetime dimensions . We study
well-known gravitational actions such as those involving the Gauss-Bonnet and
Ricci-squared, Kretchmann scalar, Weyl-squared terms and their algebraic
generalizations similar to generic theories and the algebraic
generalization of sixth order gravitational Lagrangians. We put forth a new
model involving the gravitational Chern-Simons term and also give three
dimensional New massive gravity equations in a new form in terms of the Cotton
2-form
Boundary Shape and Casimir Energy
Casimir energy changes are investigated for geometries obtained by small but
arbitrary deformations of a given geometry for which the vacuum energy is
already known for the massless scalar field. As a specific case, deformation of
a spherical shell is studied. From the deformation of the sphere we show that
the Casimir energy is a decreasing function of the surface to volume ratio. The
decreasing rate is higher for less smooth deformations.Comment: 12 page