Next Article in Journal / Special Issue
Strategies to Ascertain the Sign of the Spatial Curvature
Previous Article in Journal / Special Issue
On the Effect of the Cosmological Expansion on the Gravitational Lensing by a Point Mass
Article Menu

Export Article

Open AccessFeature PaperArticle
Universe 2016, 2(4), 26; doi:10.3390/universe2040026

A Solution of the Mitra Paradox

Oslo and Akershus University College of Applied Sciences, Faculty of Technology, Art and Sciences, PB 4 St. Olavs. Pl., NO-0130 Oslo, Norway
Academic Editors: Lorenzo Iorio and Elias C. Vagenas
Received: 7 September 2016 / Revised: 27 October 2016 / Accepted: 1 November 2016 / Published: 4 November 2016
View Full-Text   |   Download PDF [241 KB, uploaded 4 November 2016]

Abstract

The “Mitra paradox” refers to the fact that while the de Sitter spacetime appears non-static in a freely falling reference frame, it looks static with reference to a fixed reference frame. The coordinate-independent nature of the paradox may be gauged from the fact that the relevant expansion scalar, θ = 3 Λ , is finite if Λ > 0 . The trivial resolution of the paradox would obviously be to set Λ = 0 . However, here it is assumed that Λ > 0 , and the paradox is resolved by invoking the concept of “expansion of space”. This is a reference-dependent concept, and it is pointed out that the solution of the Mitra paradox is obtained by taking into account the properties of the reference frame in which the coordinates are co-moving. View Full-Text
Keywords: general theory of relativity; exact solutions; spherical symmetry; physical interpretation general theory of relativity; exact solutions; spherical symmetry; physical interpretation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Grøn, Ø. A Solution of the Mitra Paradox. Universe 2016, 2, 26.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Universe EISSN 2218-1997 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top