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

J 2011

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

KLUSOŇ, Josef, Shin'ichi NOJIRI, Sergei ODINTSOV and Diego SAEZ-GOMEZ

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

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10301 Atomic, molecular and chemical physics

Country of publisher

Czech Republic

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

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

Abstract

ORIG CZ

V originále

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.

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

Citovat

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, 2011, vol. 71, No 7, p. "nestrankovano", 16 pp. ISSN 1434-6044. Available from: https://dx.doi.org/10.1140/epjc/s10052-011-1690-6.

@article{978301,
   author = {Klusoň, Josef and Nojiri, Shin'ichi and Odintsov, Sergei and SaezandGomez, Diego},
   article_location = {Berlin},
   article_number = {7},
   doi = {http://dx.doi.org/10.1140/epjc/s10052-011-1690-6},
   keywords = {Horava-Lifshitz gravity},
   language = {eng},
   issn = {1434-6044},
   journal = {The European Physical Journal C - Particles and Fields},
   title = {U(1) Invariant F((R)-over tilde) Horava-Lifshitz Gravity},
   url = {http://www.springerlink.com/content/w2800w5737081t6m/},
   volume = {71},
   year = {2011}
}

TY  - JOUR
ID  - 978301
AU  - Klusoň, Josef - Nojiri, Shin'ichi - Odintsov, Sergei - Saez-Gomez, Diego
PY  - 2011
TI  - U(1) Invariant F((R)-over tilde) Horava-Lifshitz Gravity
JF  - The European Physical Journal C - Particles and Fields
VL  - 71
IS  - 7
SP  - "nestrankovano"
EP  - "nestrankovano"
PB  - Springer Berlin / Heidelberg
SN  - 14346044
KW  - Horava-Lifshitz gravity
UR  - http://www.springerlink.com/content/w2800w5737081t6m/
L2  - http://www.springerlink.com/content/w2800w5737081t6m/
N2  - 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.
ER  -

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

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