We formulate an extension of Maldacena's AdS/CFT conjectures to the case of branes located at singular points in the ambient transverse space. For singularities which occur at finite distance in the moduli space of M or F theory models with spacetime-filling branes, the conjectures identify the worldvolume theory on the p-branes with a compactification of M or IIB theory on AdS p+2 × H D−p−2. W...

It is believed that the basic component of the central engine of quasars, microquasars, and energetic Gamma Ray Bursts are the rotating or the Kerr Black Holes (BH)[1]. But by using a generic property[2-4] of the metric components of a stationary axisymmertic rotating metric in its standard form, namely, gφφ = sin 2 θgθθ, where φ is the azimuth angle and θ is the polar angle measured from the a...

It is very likely that the quantum description of spacetime is quite different from what we perceive at large scales, l ≫ (G~/c3)1/2. The long wavelength description of spacetime, based on Einstein’s equations, is similar to the description of a continuum solid made of a large number of microscopic degrees of freedom. This paradigm provides a novel interpretation of coordinate transformations a...

The dust ball collapse is studied in the context of "rainbow metric" approach (where matter content supplemented with a scalar field perturbation) to Oppenheimer-Snyder scenario within framework loop quantum cosmology. global spacetime structure determined for this and subsequently used evaluate entanglement entropy via slight adaptation existing formulas. resulting model shown qualitatively re...

Abstract The purpose of this paper is to present a parametrized relativistic quantum theory (pRQT) in curved spacetime. formulation pRQT spacetime developed and applied free particle motion flat It provides for calculating probability amplitudes Unlike other formulations dynamics (pRD), work assumes that the metric tensor does not depend on invariant evolution parameter.

I present a way to visualize the concept of curved spacetime. The result is a curved surface with local coordinate systems (Minkowski Systems) living on it, giving the local directions of space and time. Relative to these systems, special relativity holds. The method can be used to visualize gravitational time dilation, the horizon of black holes, and cosmological models. The idea underlying th...

In an insightful approach, Robinson and Wilczek proposed that Hawking radiation can be obtained as the compensation of a breakdown of general covariance and gauge invariance and the radiation is a black body radiation at Hawking temperature. We apply this method to two types of black holes in three dimensional spacetime, which share the general form of the metric in that the tt component of the...

An exact solution has an axial symmetry is obtained in the teleparallel theory of grav-itation. The associated metric has the structure function G(ξ) = 1 − ξ 2 − 2mAξ 3. The cubic nature of the structure function can make calculations cumbersome. Using a coordinate transformation we get a tetrad that its associated metric has the structure function in a factorisable form. This new form has the ...

An example of homogeneous space which has no metric but has a connection with non–vanishing curvature suggests that " spacetime " should be not defined as a pair (M, g), a manifold plus a metric, but as a pair (M, Γ) — a differentiable manifold plus a connection. The general theory of homogeneous spaces ensures the existence of a certain well–defined connection independently of the existence of...