Propagation of gravitational waves in multimetric gravity

Hohmann, Manuel

doi:10.1103/physrevd.85.084024

Cited by 6 publications

(11 citation statements)

References 41 publications

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“…Special cases of this action have been studied in the contexts of cosmology [2] and gravitational waves [4], and a subset of their PPN parameters has been calculated [3]. Using the formalism presented in this article we can now generalize these previous results to the action (78) and calculate the full set of PPN parameters.…”

Section: B Multimetric Repulsive Gravitymentioning

confidence: 76%

“…Our primary aim is to apply it to the theories we have discussed in earlier works [1][2][3][4]. Their properties can be summarized using the following set of assumptions:…”

Section: Multimetric Gravitymentioning

confidence: 99%

“…In this article we continue our discussion of multimetric gravity theories with ⩾ N 2 metric tensors g ab I and a corresponding number of standard model copies φ I [1][2][3][4]. These theories have been constructed such that each standard model copy couples to only one of the metric tensors, and the interaction between the different standard model copies is mediated only by a coupling of the different metrics.…”

Section: Introductionmentioning

confidence: 99%

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Parameterized post-Newtonian formalism for multimetric gravity

Hohmann¹

2014

Class. Quantum Grav.

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We discuss the post-Newtonian limit of multimetric gravity theories with N ≥ 2 metric tensors and a corresponding number of standard model copies, and construct an extension of the parameterized post-Newtonian (PPN) formalism. This extended formalism allows a characterization of multimetric gravity theories by a set of constant parameters. The multimetric PPN parameters we derive are a superset of the standard PPN parameters, which have been measured using high-precision experiments in the solar system. We apply our formalism to a class of theories which we previously discussed in the context of cosmology and gravitational waves, and which feature an accelerating expansion of the universe. A comparison between our results and the measured PPN parameters shows that multimetric gravity is fully compatible with solar system observations.

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Section: B Multimetric Repulsive Gravitymentioning

confidence: 76%

“…Our primary aim is to apply it to the theories we have discussed in earlier works [1][2][3][4]. Their properties can be summarized using the following set of assumptions:…”

Section: Multimetric Gravitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Parameterized post-Newtonian formalism for multimetric gravity

Hohmann¹

2014

Class. Quantum Grav.

Self Cite

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“…In this section we will consider OGO's ability to test predictions of General Relativity against alternative theories. In particular, we will estimate the sensitivity of the proposed detector to all six polarization modes that could be present in (alternative) metric theories of gravitation [43]. We refer to Ref.…”

Section: Testing Alternative Theories Of Gravitymentioning

confidence: 99%

Octahedron Configuration for a Displacement Noise-Canceling Gravitational Wave Detector in Space

Wang¹

2015

First-Stage LISA Data Processing and Gravitational Wave Data Analysis

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We study for the first time a three-dimensional octahedron constellation for a space-based gravitational wave detector, which we call the Octahedral Gravitational Observatory (OGO). With six spacecraft the constellation is able to remove laser frequency noise and acceleration disturbances from the gravitational wave signal without needing LISA-like drag-free control, thereby simplifying the payloads and placing less stringent demands on the thrusters. We generalize LISA's time-delay interferometry to displacement-noise free interferometry (DFI) by deriving a set of generators for those combinations of the data streams that cancel laser and acceleration noise. However, the threedimensional configuration makes orbit selection complicated. So far, only a halo orbit near the Lagrangian point L1 has been found to be stable enough, and this allows only short arms up to 1400 km. We derive the sensitivity curve of OGO with this arm length, resulting in a peak sensitivity of about 2×10 −23 Hz −1/2 near 100 Hz. We compare this version of OGO to the present generation of ground-based detectors and to some future detectors. We also investigate the scientific potentials of such a detector, which include observing gravitational waves from compact binary coalescences, the stochastic background and pulsars as well as the possibility to test alternative theories of gravity. We find a mediocre performance level for this short-arm-length detector, between those of initial and advanced ground-based detectors. Thus, actually building a space-based detector of this specific configuration does not seem very efficient. However, when alternative orbits that allow for longer detector arms can be found, a detector with much improved science output could be constructed using the octahedron configuration and DFI solutions demonstrated in this paper. Also, since the sensitivity of a DFI detector is limited mainly by shot noise, we discuss how the overall sensitivity could be improved by using advanced technologies that reduce this particular noise source.

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“…In particular, we will estimate the sensitivity of the proposed detector to all six polarization modes that could be present in (alternative) metric theories of gravitation [43]. We refer to Ref.…”

Section: Testing Alternative Theories Of Gravitymentioning

confidence: 99%

Octahedron configuration for a displacement noise-cancelling gravitational wave detector in space

Wang

Keitel²,

Babak³

et al. 2013

Phys. Rev. D

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We study for the first time a three-dimensional octahedron constellation for a space-based gravitational wave detector, which we call the Octahedral Gravitational Observatory (OGO). With six spacecraft the constellation is able to remove laser frequency noise and acceleration disturbances from the gravitational wave signal without needing LISA-like drag-free control, thereby simplifying the payloads and placing less stringent demands on the thrusters. We generalize LISA's time-delay interferometry to displacement-noise free interferometry (DFI) by deriving a set of generators for those combinations of the data streams that cancel laser and acceleration noise. However, the threedimensional configuration makes orbit selection complicated. So far, only a halo orbit near the Lagrangian point L1 has been found to be stable enough, and this allows only short arms up to 1400 km. We derive the sensitivity curve of OGO with this arm length, resulting in a peak sensitivity of about 2×10−23 Hz −1/2 near 100 Hz. We compare this version of OGO to the present generation of ground-based detectors and to some future detectors. We also investigate the scientific potentials of such a detector, which include observing gravitational waves from compact binary coalescences, the stochastic background and pulsars as well as the possibility to test alternative theories of gravity. We find a mediocre performance level for this short-arm-length detector, between those of initial and advanced ground-based detectors. Thus, actually building a space-based detector of this specific configuration does not seem very efficient. However, when alternative orbits that allow for longer detector arms can be found, a detector with much improved science output could be constructed using the octahedron configuration and DFI solutions demonstrated in this paper. Also, since the sensitivity of a DFI detector is limited mainly by shot noise, we discuss how the overall sensitivity could be improved by using advanced technologies that reduce this particular noise source.

show abstract

Propagation of gravitational waves in multimetric gravity

Cited by 6 publications

References 41 publications

Parameterized post-Newtonian formalism for multimetric gravity

Parameterized post-Newtonian formalism for multimetric gravity

Octahedron Configuration for a Displacement Noise-Canceling Gravitational Wave Detector in Space

Octahedron configuration for a displacement noise-cancelling gravitational wave detector in space

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