Next Article in Journal
Galaxy Rotation Curves in Covariant Hořava-Lifshitz Gravity
Next Article in Special Issue
Revisiting Vaidya Horizons
Previous Article in Journal
Cosmographic Constraints and Cosmic Fluids
Previous Article in Special Issue
Evolving Black Hole Horizons in General Relativity and Alternative Gravity
Article Menu

Export Article

Open AccessArticle
Galaxies 2013, 1(3), 261-274; doi:10.3390/galaxies1030261

A No-Go Theorem for Rotating Stars of a Perfect Fluid without Radial Motion in Projectable Hořava–Lifshitz Gravity

Department of Physics, Rikkyo University, 3-34-1 Nishi-Ikebukuro, Toshima-ku, Tokyo 171-8501, Japan
Author to whom correspondence should be addressed.
Received: 16 October 2013 / Revised: 27 November 2013 / Accepted: 10 December 2013 / Published: 16 December 2013
(This article belongs to the Special Issue Aspects of Black Hole Physics)
View Full-Text   |   Download PDF [123 KB, 19 December 2013; original version 16 December 2013]


Hořava–Lifshitz gravity has covariance only under the foliation-preserving diffeomorphism. This implies that the quantities on the constant-time hypersurfaces should be regular. In the original theory, the projectability condition, which strongly restricts the lapse function, is proposed. We assume that a star is filled with a perfect fluid with no-radial motion and that it has reflection symmetry about the equatorial plane. As a result, we find a no-go theorem for stationary and axisymmetric star solutions in projectable Hořava–Lifshitz  gravity under the physically reasonable assumptions in the matter sector. Since we do not use the gravitational action to prove it, our result also works out in other projectable theories and applies to not only strong gravitational fields, but also weak gravitational ones.
Keywords: Hořava–Lifshitz gravity; projectable gravity; rotating star Hořava–Lifshitz gravity; projectable gravity; rotating star
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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

Tsukamoto, N.; Harada, T. A No-Go Theorem for Rotating Stars of a Perfect Fluid without Radial Motion in Projectable Hořava–Lifshitz Gravity. Galaxies 2013, 1, 261-274.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Galaxies EISSN 2075-4434 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top