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This article presents a streamlined version of the author's original proof of the $C^0$-inextendibility of the maximal analytic Schwarzschild spacetime. Firstly, we deviate from the original proof by using the result, recently established…

广义相对论与量子宇宙学 · 物理学 2018-03-14 Jan Sbierski

The spacetime structure of the spatially uniformly expanding universe is described in terms of a kind of global space and global time instead of the space and time we usually recognize. The global space at some instant is a space in which…

天体物理学 · 物理学 2022-08-31 Yoshio Kubo

We live in a 3+1 space-time that is intended as a description of the universe with three space dimensions and one time dimension. Space-time dimensionality seems so natural that it is rarely criticized. Experiments and the highly successful…

综合物理 · 物理学 2009-11-10 Giorgio Fontana

Higher-dimensional theories with time-like and space-like extra dimensions are compared both from the conceptual and from the phenomenological points of view. In this context causality and unitarity are discussed. It is shown that…

广义相对论与量子宇宙学 · 物理学 2007-07-11 Israel Quiros

By decomposing the Riemann curvature into electric and magnetic parts, a duality transformation, which involves interchange of active and passive electric parts, has recently been proposed. It was shown that the Schwarzschild solution is…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Mohammad Nouri-Zonoz , Naresh Dadhich , D. Lynden-Bell

In Ref. [1], exact (not only conformally related) analogue models for the Schwarzschild and Reissner-Nordstr\"om spacetimes were found. The background non-relativistic fluid flow was sustained by an external body force which is not affected…

广义相对论与量子宇宙学 · 物理学 2022-12-19 João Paulo M. Pitelli , Ricardo A. Mosna , Christyan C. de Oliveira , Maurício Richartz

The standard interpretation of the observed redshifted spectra and luminosities towards distant astrophysical objects is that the universe is expanding, an inference which is found to be consistent with other cosmological probes as well.…

综合物理 · 物理学 2013-08-06 Meir Shimon

The Cauchy problem for the Schr\"odinger equations is studied with time-dependent potentials growing polynomially in the spatial direction. First the existence and the uniqueness of solutions are shown in the weighted Sobolev spaces. In…

偏微分方程分析 · 数学 2017-09-22 Wataru Ichinose

We present a consistent canonical formulation of the flat Oppenheimer-Snyder model, including the Schwarzschild exterior. The switching between comoving and stationary observer is realized by promoting the coordinate transformation between…

广义相对论与量子宇宙学 · 物理学 2020-01-28 Tim Schmitz

GR and other theories have been obtained from 3-space rather than spacetime principles. I explore consequences of this as regards the Problem of Time.

广义相对论与量子宇宙学 · 物理学 2007-05-23 Edward Anderson

We show that the two-time physics model leads to a mechanical system with Dirac brackets consistent with the Snyder noncommutative space. An Euclidean version of this space is also obtained and it is shown that both spaces have a dual…

高能物理 - 理论 · 物理学 2009-11-10 Juan M. Romero , Adolfo Zamora

The nature of the change in perspective that accompanies the proposal of a unified physical theory deriving from the single dimension of time is elaborated. On expressing a temporal interval in a multi-dimensional form, via a direct…

综合物理 · 物理学 2018-04-03 David J. Jackson

The model of the homogenous and isotropic universe with two spaces is considered. The background space is a coordinate system of reference and defines the behaviour of the universe. The other space characterizes the gravity of the matter of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Dmitri Khokhlov

By means of a simple model we investigate the possibility that spacetime is a membrane embedded in higher dimensions. We present cosmological solutions of d-dimensional Einstein-Maxwell theory which compactify to two dimensions. These…

高能物理 - 理论 · 物理学 2009-10-07 G. W. Gibbons , D. L. Wiltshire

The motion of an extended body up to the quadrupolar structure is studied in the Schwarzschild background following Dixon's model and within certain restrictions (constant frame components for the spin and the quadrupole tensor, center of…

广义相对论与量子宇宙学 · 物理学 2009-11-05 Donato Bini , Pierluigi Fortini , Andrea Geralico , Antonello Ortolan

We find an exact convergence in the local dynamics described by two supposedly antagonistic approaches in modern cosmology: one starting from an expanding universe perspective such as FLRW, the other based on a local model ignoring any…

广义相对论与量子宇宙学 · 物理学 2021-12-08 J. M. Pons , P. Talavera

This work deals with the presence of twinlike models in scalar field theories. We show how to build distinct scalar field theories having the same extended solution, with the same energy density and the very same linear stability. Here,…

高能物理 - 理论 · 物理学 2012-12-13 D. Bazeia , A. S. Lobão , R. Menezes

We study an analytical solution to the Einstein's equations in 2+1-dimensions. The space-time is dynamical and has a line symmetry. The matter content is a minimally coupled, massless, scalar field. Depending on the value of certain…

广义相对论与量子宇宙学 · 物理学 2015-06-25 G. Oliveira-Neto

Four-dimensional spacetime, together with a natural generalisation to extra dimensions, is obtained through an analysis of the structures and symmetries deriving from possible arithmetic expressions for one-dimensional time. On taking the…

综合物理 · 物理学 2016-03-25 David J. Jackson

Realistic modelling of radiation transfer in and from variable accretion disks around black holes requires the solution of the problem: find the constants of motion and equation of motion of a light-like geodesic connecting two arbitrary…

广义相对论与量子宇宙学 · 物理学 2009-03-01 Andrej Cadez , Uros Kostic