This work describes new perturbative solutions to the classical, four-dimensional Kerr–Newman dilaton black hole field equations. Our solutions do not require the black hole to be slowly rotating. The unperturbed solution is taken to be the ordinary Kerr solution, and the perturbation parameter is effectively the square of the charge-to-mass ratio (Q/M) 2 of the Kerr–Newman black hole. We have ...

Starting from the most general action in Einstein-Dilaton-Nonlinear Electrodynamics (NED) theory, we obtain field equations. We apply equations for specific NED known as square root model coupled nonminimally to dilaton scalar whose self-interaction is Liouville type plus a cosmological constant and solve With pure magnetic it shown that strong limit of Born–Infeld theory. In static spherically...

Vedic Physics includes a theory of the emergence of matter from the invisible Substratum of Thaamic matter, into either the stable 8 x 8 Satwa Material or the dynamic 9 x 9 Raja form. Matter emerges in two dimensions from the Substratum, emerging at the very center of a circle, with the extrusion of tiny particles of Dark Matter through a central hole, at the logarithm of e, or the Euler Number...

Erdös raised the question whether there exist infinite abelian square-free words over a given alphabet (words in which no two adjacent subwords are permutations of each other). Infinite abelian square-free words have been constructed over alphabets of sizes as small as four. In this paper, we investigate the problem of avoiding abelian squares in partial words (sequences that may contain some h...

We say that a partial word w over an alphabet A is square-free if every factor xx of w such that x and x are compatible is either of the form ⋄a or a⋄ where ⋄ is a hole and a ∈ A. We prove that there exist uncountably many square-free partial words over a ternary alphabet with an infinite number of holes.

We investigate the dependence of the escape rate on the position of a hole placed in uniformly hyperbolic systems admitting a finite Markov partition. We derive an exact periodic orbit formula for finite size Markov holes which differs from other periodic expansions in the literature and can account for additional distortion to maps with piecewise constant expansion rate. Using asymptotic expan...

This paper describes a Lamb-wave scanning method for the detection of notches simulating cracks at rivet holes in thin plates. The approach requires the generation of an ultrasonic So-Mode Lamb wave using an incident transmitter excited with a tone burst centered at a near non-dispersive frequency. Area scans are performed on a plate with a hole with a notch to generate times series information...