نتایج جستجو برای: spacelike hypersurface

تعداد نتایج: 4112  

Journal: :Physical review 2022

The investigations presented in this study are directed at relativistic modifications of the uncertainty relation derived from curvature background spacetime. These findings generalize previous work that is recovered nonrelativistic limit. Applying $3+1$ splitting accordance with ADM formalism, we find physical momentum operator and compute its standard deviation for wave functions confined to ...

2005
J. Dolanský

A very short review of the time machine problem in physics is presented. First we consider basic knowledge of a time machine. Then we go through two different kinds of non-eternal time machine solutions. Further we explore two fundamental consequences of existence of time machine. And finally part of my recent work will be outlined. Introduction Time travelling point-like particle is represente...

Journal: :Physical review 2022

We present a covariant model of spherically symmetric black hole with corrections motivated by loop quantum gravity. The effective modifications, parametrized positive constant $\lambda$, are implemented through canonical transformation and linear combination the constraints general relativity, in such way that theory remains free anomalies relativity is recovered for $\lambda=0$. In addition, ...

1999
Philip Pearle

This is a review of formalisms and models (nonrelativistic and relativistic) which modify Schrödinger’s equation so that it describes wavefunction collapse as a dynamical physical process. 1 Representing The World One of the major goals of theoretical physics is to find a useful mathematical object to represent the physical state of our world. In classical physics the object is a point in phase...

2009
Ahmad Tawfik Ali Ahmad T. Ali

A century ago, Salkowski [9] introduced a family of curves with constant curvature but non-constant torsion (Salkowski curves) and a family of curves with constant torsion but nonconstant curvature (anti-Salkowski curves). In this paper, we adapt definition of such curves to spacelike curves in Minkowski 3-space. Thereafter, we introduce an explicit parametrization of a spacelike Salkowski curv...

2011
JUNCHEOL PYO

For a compact spacelike constant mean curvature surface with nonempty boundary in the threedimensional Lorentz–Minkowski space, we introduce a rotation index of the lines of curvature at the boundary umbilical point, which was developed by Choe [‘Sufficient conditions for constant mean curvature surfaces to be round’, Math. Ann. 323(1) (2002), 143–156]. Using the concept of the rotation index a...

1999
G. J. Galloway K. Schleich D. M. Witt E. Woolgar

Motivated by recent interest in black holes whose asymptotic geometry approaches that of anti-de Sitter spacetime, we give a proof of topological censorship applicable to spacetimes with such asymptotic behavior. Employing a useful rephrasing of topological censorship as a property of homotopies of arbitrary loops, we then explore the consequences of topological censorship for horizon topology ...

Journal: :Physics of the Dark Universe 2023

In this paper, we study spherical gravitational collapse of inhomogeneous pressureless matter in a well-defined n→4d limit the Einstein–Gauss–Bonnet gravity. The leads to either black hole or massive naked singularity depending on time formation trapped surfaces. More precisely, horizon and its development is controlled by relative strengths Gauss–Bonnet coupling (λ) Misner–Sharp mass function ...

Journal: :Journal of High Energy Physics 2002

1999
G. J. Galloway K. Schleich D. M. Witt E. Woolgar

Motivated by recent interest in black holes whose asymptotic geometry approaches that of anti-de Sitter spacetime, we give a proof of topological censorship applicable to spacetimes with such asymptotic behavior. Employing a useful rephrasing of topological censorship as a property of homotopies of arbitrary loops, we then explore the consequences of topological censorship for horizon topology ...

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