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Einstein's general theory of relativity is the standard theory of gravity, especially where the needs of astronomy, astrophysics, cosmology and fundamental physics are concerned. As such, this theory is used for many practical purposes…

广义相对论与量子宇宙学 · 物理学 2011-08-17 Slava G. Turyshev

Possibility of gravitational repulsion in General Relativity is discussed and astronomical data in favor of cosmological acceleration are described. The problem of vacuum energy is emphasized and possible ways of its solution are indicated.…

宇宙学与河外天体物理 · 物理学 2012-06-19 A. D. Dolgov

The problem of deforming geometries is particularly important in the context of constructing new exact solutions of Einstein's equation. This issue often appears when extensions of the general relativity are treated, for instance in brane…

广义相对论与量子宇宙学 · 物理学 2014-04-11 C. Molina

The purpose of this paper is to explain clearly why nonlocality must be an essential part of the theory of relativity. In the standard local version of this theory, Lorentz invariance is extended to accelerated observers by assuming that…

广义相对论与量子宇宙学 · 物理学 2011-04-07 Bahram Mashhoon

We show that some primary special relativity effects, which are believed to be hardly detectable in everyday life, such as time dilation, relativistic Doppler effect, and length contraction, should tangibly and spectacularly show up here on…

综合物理 · 物理学 2022-04-12 Germano D'Abramo

In order to respect the Principle of Relativity, the analysis of the behavior of the longitudinal light clock reveals the necessity to extend the Doppler effect also to space and time. As a consequence, the bodies in inertial motion must…

综合物理 · 物理学 2015-11-16 Giovanni Zanella

The longitudinal Doppler shift is a measure of hyperbolic distance. Transformations of uniform motion are determined by the Doppler shift, while its square root transforms to a uniformly accelerated frame. A time-velocity space metric is…

综合物理 · 物理学 2008-05-16 B. H. Lavenda

We scrutinize congruence as one of the basic definitions of equality in geometry and pit it against physics of Special Relativity. We show that two non-rigid rods permanently kept congruent during their common expansion or compression may…

经典物理 · 物理学 2008-07-08 Moses Fayngold

Alternative theories of relativistic rotation considered viable as of 2004 are compared in the light of experiments reported in 2005. En route, the contentious issue of simultaneity choice in rotation is resolved by showing that only one…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Robert D. Klauber

Relativistic thermodynamics is generalized to accommodate four dimensional rotation in a flat spacetime. An extended body can be in equilibrium when its each element moves along a Killing flow. There are three types of basic Killing flows…

经典物理 · 物理学 2015-05-18 Tadas K Nakamura

In an attempt to look for a viable mechanism leading to a present-day accelerated expansion, we investigate the possibility that the observed cosmic speed up may be recovered in the framework of the Rastall's theory, relying on the…

宇宙学与河外天体物理 · 物理学 2011-04-12 Monica Capone , Vincenzo Fabrizio Cardone , Matteo Luca Ruggiero

The clock time t' of an accelerating observer, simultaneous with the measured clock time t of an inertial observer,is easily established in special relativity (as proper time) by the well-known time-dilation formula for t'(t). In this work,…

广义相对论与量子宇宙学 · 物理学 2019-08-27 David A. de Wolf

This article reviews the arguments why extra dimensions provide a unique opportunity for progress on the cosmological constant problem, and updates the status of -- and the objections to (with replies) -- the specific proposal using…

高能物理 - 唯象学 · 物理学 2007-08-08 C. P. Burgess

A thought experiment first proposed by Sartori is analysed using the parallel velocity addition formula of special relativity. The distances and proper-time intervals between some similarly defined spatial coincidence events are found to be…

综合物理 · 物理学 2009-09-01 J. H. Field

We propose that the effective dimensionality of the space we live in depends on the length scale we are probing. As the length scale increases, new dimensions open up. At short scales the space is lower dimensional; at the intermediate…

高能物理 - 唯象学 · 物理学 2015-05-18 Luis Anchordoqui , De Chang Dai , Malcolm Fairbairn , Greg Landsberg , Dejan Stojkovic

In this article, after recalling and discussing the conventional extremality, local extremality, stationarity and approximate stationarity properties of collections of sets and the corresponding (extended) extremal principle, we focus on…

最优化与控制 · 数学 2018-05-15 Hoa T. Bui , Alexander Y. Kruger

This contribution shows that the main topics of Relativity can be discussed at an elementary level and in a considerable extent - including the formal results of "Time Dilation" and "Lorentz Contraction" - by a minor modification of the…

物理教育 · 物理学 2007-05-23 Roberto Assumpcao

This work deals with the questions of absolute space and relativity. In particular, an alternative derivation of the effects described by special relativity is provided, which is based on a description that assumes a privileged reference…

物理教育 · 物理学 2007-05-23 Vasco Guerra , Rodrigo de Abreu

This thesis focuses on late-time cosmic acceleration within modified theories of gravity, using various observational data sets and statistical analysis. The Universe is assumed to be spatially homogeneous and isotropic and is described by…

广义相对论与量子宇宙学 · 物理学 2025-03-05 Santosh V. Lohakare

Extreme mass-ratio inspirals, in which solar-mass compact bodies spiral into supermassive black holes, are an important potential source for gravitational wave detectors. Because of the extreme mass-ratio, one can model these systems using…

广义相对论与量子宇宙学 · 物理学 2010-06-22 Adam Pound