### 摘要

Gravitational waves are investigated in Intrinsic Time Geometrodynamics. This theory has a non-vanishing physical Hamiltonian generating intrinsic time development in our expanding universe, and four-covariance is explicitly broken by higher spatial curvature terms. Linearization of Hamilton’s equations about the de Sitter solution produces transverse traceless excitations, with the physics of gravitational waves in Einstein’s General Relativity recovered in the low curvature low frequency limit. A noteworthy feature of this theory is that gravitational waves always carry positive energy density, even for compact spatial slicings without any energy contribution from boundary Hamiltonian. This study of gravitational waves in compact k= + 1 cosmological de Sitter spacetime is in contradistinction to, and complements, previous k= - 1 investigations of Hawking, Hertog and Turok and other more familiar k= 0 works. In addition, possible non-four-covariant Horava gravity contributions are considered (hence the use of canonical Hamiltonian, rather than Lagrangian, methods). Recent explicit S^{3} transverse-traceless mode spectrum of Lindblom, Taylor and Zhang are also employed to complete the discussion.

原文 | English |
---|---|

文章編號 | 723 |

期刊 | European Physical Journal C |

卷 | 78 |

發行號 | 9 |

DOIs | |

出版狀態 | Published - 2018 九月 1 |

### 指紋

### All Science Journal Classification (ASJC) codes

- Engineering (miscellaneous)
- Physics and Astronomy (miscellaneous)

### 引用此文

*European Physical Journal C*,

*78*(9), [723]. https://doi.org/10.1140/epjc/s10052-018-6203-4

}

*European Physical Journal C*, 卷 78, 編號 9, 723. https://doi.org/10.1140/epjc/s10052-018-6203-4

**Gravitational waves in intrinsic time geometrodynamics.** / Ita, Eyo Eyo; Soo, Cho-Pin; Yu, Hoi Lai.

研究成果: Article

TY - JOUR

T1 - Gravitational waves in intrinsic time geometrodynamics

AU - Ita, Eyo Eyo

AU - Soo, Cho-Pin

AU - Yu, Hoi Lai

PY - 2018/9/1

Y1 - 2018/9/1

N2 - Gravitational waves are investigated in Intrinsic Time Geometrodynamics. This theory has a non-vanishing physical Hamiltonian generating intrinsic time development in our expanding universe, and four-covariance is explicitly broken by higher spatial curvature terms. Linearization of Hamilton’s equations about the de Sitter solution produces transverse traceless excitations, with the physics of gravitational waves in Einstein’s General Relativity recovered in the low curvature low frequency limit. A noteworthy feature of this theory is that gravitational waves always carry positive energy density, even for compact spatial slicings without any energy contribution from boundary Hamiltonian. This study of gravitational waves in compact k= + 1 cosmological de Sitter spacetime is in contradistinction to, and complements, previous k= - 1 investigations of Hawking, Hertog and Turok and other more familiar k= 0 works. In addition, possible non-four-covariant Horava gravity contributions are considered (hence the use of canonical Hamiltonian, rather than Lagrangian, methods). Recent explicit S3 transverse-traceless mode spectrum of Lindblom, Taylor and Zhang are also employed to complete the discussion.

AB - Gravitational waves are investigated in Intrinsic Time Geometrodynamics. This theory has a non-vanishing physical Hamiltonian generating intrinsic time development in our expanding universe, and four-covariance is explicitly broken by higher spatial curvature terms. Linearization of Hamilton’s equations about the de Sitter solution produces transverse traceless excitations, with the physics of gravitational waves in Einstein’s General Relativity recovered in the low curvature low frequency limit. A noteworthy feature of this theory is that gravitational waves always carry positive energy density, even for compact spatial slicings without any energy contribution from boundary Hamiltonian. This study of gravitational waves in compact k= + 1 cosmological de Sitter spacetime is in contradistinction to, and complements, previous k= - 1 investigations of Hawking, Hertog and Turok and other more familiar k= 0 works. In addition, possible non-four-covariant Horava gravity contributions are considered (hence the use of canonical Hamiltonian, rather than Lagrangian, methods). Recent explicit S3 transverse-traceless mode spectrum of Lindblom, Taylor and Zhang are also employed to complete the discussion.

UR - http://www.scopus.com/inward/record.url?scp=85052852178&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85052852178&partnerID=8YFLogxK

U2 - 10.1140/epjc/s10052-018-6203-4

DO - 10.1140/epjc/s10052-018-6203-4

M3 - Article

AN - SCOPUS:85052852178

VL - 78

JO - European Physical Journal C

JF - European Physical Journal C

SN - 1434-6044

IS - 9

M1 - 723

ER -