Extra polarization states of cosmological gravitational waves in alternative theories of gravity

Alves, M. E. S.; Miranda, Oswaldo D.; Araújo, J. C. N. de

doi:10.1088/0264-9381/27/14/145010

Cited by 38 publications

(43 citation statements)

References 40 publications

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“…In conclusion 18 , any metric formulation of f (R) leads to the existence of four polarization modes. This is thus in agreement with the results obtained via the NP approach 13,14 and clarifies the disagreement found so far in several papers in the recent literature.…”

Section: Resultssupporting

confidence: 93%

“…Another powerful tool to study the properties of GW in any metric theory is the Newman-Penrose formalism (NP) 11,12 . The polarization of GW has been investigated using this approach, 13,14 and it was shown that scalar-tensor and f (R) theories both present two additional scalar modes: a longitudinal and a breathing mode. Therefore, there seems to be a disagreement between the linearized and the NP approaches.…”

Section: Introductionmentioning

confidence: 99%

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Gravitational wave polarization modes in f(R) theories

Kausar

Philippoz

Jetzer

2017

The Fourteenth Marcel Grossmann Meeting

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The detection of gravitational waves and the corresponding determination of polarization modes is a powerful tool to discriminate between general relativity and alternative theories of gravity as for instance f (R) theories. Within the framework of the linearized approach, we investigate the polarization of gravitational waves in f (R) theories in the metric formalism. Besides the usual two transverse-traceless tensor modes present in general relativity, there are in general two additional scalar ones: a massive longitudinal mode and a massless transverse mode (the so-called breathing mode). This last mode has often been overlooked in the literature, and we show why it is in general not possible to impose a traceless condition on the wave solutions. Our findings are in agreement with the results found using the Newman-Penrose formalism, thus clarifying the inconsistencies in the literature.

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Section: Resultssupporting

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Gravitational wave polarization modes in f(R) theories

Kausar

Philippoz

Jetzer

2017

The Fourteenth Marcel Grossmann Meeting

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“…In GR, a GW has two polarization modes (plus and cross modes), while in a general metric theory of gravitation, the GW is allowed to have at most six polarizations [9,10]. In modified gravity theories such as the scalar-tensor theory [11,12] and f (R) gravity [13,14], additional scalar polarizations appear (For more rigorous treatment of the polarizations with the Newman-Penrose formalism, see [15,16]). On the other hand, in bimetric gravity theory [17] and massive gravity theory [18,19], there appear at most six and five polarization modes, respectively, including scalar and vector modes [16,20].…”

Section: Introductionmentioning

confidence: 99%

Model-independent test of gravity with a network of ground-based gravitational-wave detectors

Hayama

Nishizawa

2013

Phys. Rev. D

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The observation of gravitational waves with a global network of interferometric detectors such as advanced LIGO, advanced Virgo, and KAGRA will make it possible to probe into the nature of space-time structure. Besides Einstein's general theory of relativity, there are several theories of gravitation that passed experimental tests so far. The gravitational-wave observation provides a new experimental test of alternative theories of gravity because a gravitational wave may have at most six independent modes of polarization, of which properties and number of modes are dependent on theories of gravity. This paper develops a method to reconstruct an arbitrary number of modes of polarization in time-series data of an advanced detector network. Since the method does not rely on any specific model, it gives model-independent test of alternative theories of gravity.

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“…Among the proposed theories, scalar-tensor theories predict GWs with one or two polarization modes with helicity s = 0 besides the two usual modes with helicity s = ±2 [4,5]. Also theories that introduce geometrical corrections in the Einstein-Hilbert Lagrangian have appeared in the literature.…”

Section: Introductionmentioning

confidence: 99%

Pulsar timing sensitivities to gravitational waves from relativistic metric theories of gravity

Alves

Tinto

2011

Phys. Rev. D

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Pulsar timing experiments aimed at the detection of gravitational radiation have been performed for decades now. With the forthcoming construction of large arrays capable of tracking multiple millisecond pulsars, it is very likely we will be able to make the first detection of gravitational radiation in the nano-Hertz band, and test Einstein's theory of relativity by measuring the polarization components of the detected signals. Since a gravitational wave predicted by the most general relativistic metric theory of gravity accounts for six polarization modes (the usual two Einstein's tensor polarizations as well as two vector and two scalar wave components), we have estimated the single-antenna sensitivities to these six polarizations. We find pulsar timing experiments to be significantly more sensitive, over their entire observational frequency band (≈ 10 −9 − 10 −6 Hz), to scalar-longitudinal and vector waves than to scalar-transverse and tensor waves. At 10 −7 Hz and with pulsars at a distance of 1 kpc, for instance, we estimate an average sensitivity to scalar-longitudinal waves that is more than two orders of magnitude better than the sensitivity to tensor waves. Our results imply that a direct detection of gravitational radiation by pulsar timing will result into a test of the theory of general relativity that is more stringent than that based on monitoring the decay of the orbital period of a binary system. 95.36.+x, 95.30.Sf

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Extra polarization states of cosmological gravitational waves in alternative theories of gravity

Cited by 38 publications

References 40 publications

Gravitational wave polarization modes in f(R) theories

Gravitational wave polarization modes in f(R) theories

Model-independent test of gravity with a network of ground-based gravitational-wave detectors

Pulsar timing sensitivities to gravitational waves from relativistic metric theories of gravity

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