U(1) Invariant F((R)-over tilde) Horava-Lifshitz Gravity

KLUSOŇ, Josef, Shin'ichi NOJIRI, Sergei ODINTSOV and Diego SAEZ-GOMEZ. U(1) Invariant F((R)-over tilde) Horava-Lifshitz Gravity. The European Physical Journal C - Particles and Fields. Berlin: Springer Berlin / Heidelberg, vol. 71, No 7, p. "nestrankovano", 16 pp. ISSN 1434-6044. doi:10.1140/epjc/s10052-011-1690-6. 2011.

Basic information

• Original name: U(1) Invariant F((R)-over tilde) Horava-Lifshitz Gravity
• Name in Czech: U(1) invariantní F(R) Hořavova-Livšicova Gravitace
• Authors: KLUSOŇ, Josef (203 Czech Republic, guarantor, belonging to the institution), Shin'ichi NOJIRI (392 Japan), Sergei ODINTSOV (643 Russian Federation) and Diego SAEZ-GOMEZ (724 Spain).
• Edition: The European Physical Journal C - Particles and Fields, Berlin, Springer Berlin / Heidelberg, 2011, 1434-6044.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10301 Atomic, molecular and chemical physics
• Country of publisher: Czech Republic
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• Impact factor: Impact factor: 3.631
• RIV identification code: RIV/00216224:14310/11:00056696
• Organization unit: Faculty of Science
• Doi: http://dx.doi.org/10.1140/epjc/s10052-011-1690-6
• UT WoS: 000293295900017
• Keywords (in Czech): Hořavova-Livšicova gravitace
• Keywords in English: Horava-Lifshitz gravity
• Tags: AKR, rivok, ZR
• Tags: International impact, Reviewed

Abstract

This paper is devoted to the study of various aspects of projectable F(R) Horava-Lifshitz (HL) gravity. We show that some versions of F(R) HL gravity may have stable de Sitter solution and instable flat space solution. In this case, the problem of scalar graviton does not appear because flat space is not vacuum state. Generalizing the U(1) HL theory proposed in arXiv:1007.2410, we formulate U(1) extension of scalar theory and of F(R) Horava-Lifshitz gravity. The Hamiltonian approach for such the theory is developed in full detail. It is demonstrated that its Hamiltonian structure is the same as for the non-relativistic covariant HL gravity. The spectrum analysis performed around flat background indicates towards the consistency of the theory because it contains graviton with only transverse polarization. Finally, we analyze the spatially-flat FRW equations for U(1) invariant F(R) Horava-Lifshitz gravity.

Abstract (in Czech)

Tento článek je zaměřen na studium různých aspektů projektabilní F(R) Hořavovy-Livšicovy teorie gravitace. Ukážeme, že tato verze teorie má stabilní de Sitterovo řešení a nestabilní řešení odpovídající rovnému prostoru. Pak studujeme U(1) rozšíření této teorie, najdeme její Hamiltonovskou formulaci a studujeme spektrum fluktuací.

Links

• MSM0021622409, plan (intention): Name: Matematické struktury a jejich fyzikální aplikace

Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications