Detection of massive Gravitational Waves using spherical antenna

Prasia, P.; Kuriakose, V. C.

doi:10.1142/s0218271814500370

Cited by 9 publications

(8 citation statements)

References 19 publications

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“…Our result is also in agreement with the fact that f (R) theory is known to have a massless graviton plus a scalar field [31,33,38,39], as we have uncovered only attractive effects from the Lorentz force expression. The expression of the force is non-trivial and interesting because we find that not only the gradient of the potential matters but its absolute value also contributes at very short ranges.…”

Section: Discussion and Outlooksupporting

confidence: 90%

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Gravitoelectromagnetism in metric f(R) and Brans–Dicke theories with a potential

Dass

Liberati

2019

Gen Relativ Gravit

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A Gravitoelectromagnetism formalism in the context of metric f (R) theory is presented and the analogue Lorentz force law is derived. Some interesting results such as the dependence of the deviation from General Relativity on the absolute value of the scalar potential are found, it is also found that the f (R) effects are only relevant at a shorter distance or when the distance is much less than the compton wavelength, and that the effects are attractive in nature. An investigation of gravitational time delay in the context of metric f (R) is also presented showing that the Ricci scalar alone is responsible for the time delay effect which seems to suggest that the extra scalar degree of freedom associated to f (R) does not provide any modification. Also, to generalise our results, the Lorentz force law and gravitational time delay in the case of Brans-Dicke theories with a potential are derived; it is shown that the results are consistent with those obtained in the case of metric f (R) and General Relativity in the appropriate limits.

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Section: Discussion and Outlooksupporting

confidence: 90%

“…f (R) gives only attractive corrections and is consistent with the fact that f (R) is well known to have a massless graviton plus a scalar field as propagating modes [31,33,38,39].…”

Section: Discussion Of the Results In F (R)supporting

confidence: 75%

Gravitoelectromagnetism in metric f(R) and Brans–Dicke theories with a potential

Dass

Liberati

2019

Gen Relativ Gravit

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“…The effective mass squared of the equivalent scalar field is f (0)/3 f (0), and the massive scalar field excites both the longitudinal and transverse breathing modes [28][29][30]. The polarizations of gravitational waves in f (R) gravity were previously discussed in [31][32][33][34][35][36][37]. The authors in [33,34] calculated the NP variables and found that Ψ 2 , Ψ 4 and Φ 22 are nonvanishing.…”

Section: Introductionmentioning

confidence: 99%

Polarizations of gravitational waves in Horndeski theory

2018

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We analyze the polarization content of gravitational waves in Horndeski theory. Besides the familiar plus and cross polarizations in Einstein's General Relativity, there is one more polarization state which is the mixture of the transverse breathing and longitudinal polarizations. The additional mode is excited by the massive scalar field. In the massless limit, the longitudinal polarization disappears, while the breathing one persists. The upper bound on the graviton mass severely constrains the amplitude of the longitudinal polarization, which makes its detection highly unlikely by the ground-based or space-borne interferometers in the near future. However, pulsar timing arrays might be able to detect the polarization excited by the massive scalar field. Since additional polarization states appear in alternative theories of gravity, the measurement of the polarizations of gravitational waves can be used to probe the nature of gravity. In addition to the plus and cross states, the detection of the breathing polarization means that gravitation is mediated by massless spin 2 and spin 0 fields, and the detection of both the breathing and longitudinal states means that gravitation is propagated by the massless spin 2 and massive spin 0 fields.

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“…Ref. [14] proposed to use spherical antenna to detect the massive GWs. In fact, GW170814 was the first GW event to test the polarization content of GWs.…”

Section: Introductionmentioning

confidence: 99%

The Polarizations of Gravitational Waves

Gong

Hou

2018

Universe

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Abstract:The gravitational wave provides a new method to examine General Relativity and its alternatives in the high speed, strong field regime. Alternative theories of gravity generally predict more polarizations than General Relativity, so it is important to study the polarization contents of theories of gravity to reveal the nature of gravity. In this talk, we analyze the polarization contents of Horndeski theory and f (R) gravity. We find out that in addition to the familiar plus and cross polarizations, a massless Horndeski theory predicts an extra transverse polarization, and there is a mix of pure longitudinal and transverse breathing polarizations in the massive Horndeski theory and f (R) gravity. It is possible to use pulsar timing arrays to detect the extra polarizations in these theories. We also point out that the classification of polarizations using Newman-Penrose variables cannot be applied to massive modes. It cannot be used to classify polarizations in Einstein-aether theory or generalized Tensor-Vector-Scalar (TeVeS) theory, either.

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Detection of massive Gravitational Waves using spherical antenna

Cited by 9 publications

References 19 publications

Gravitoelectromagnetism in metric f(R) and Brans–Dicke theories with a potential

Gravitoelectromagnetism in metric f(R) and Brans–Dicke theories with a potential

Polarizations of gravitational waves in Horndeski theory

The Polarizations of Gravitational Waves

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