Probing the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> formalism through gravitational wave polarizations

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

doi:10.1016/j.physletb.2009.08.005

Cited by 69 publications

(55 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is advantageous to consider each term in the sum (36) separately since various gravity theories may have different polarization content [3][4][5][6][7][8][9][10][11][12][13]20]. The overlap reduction function has a closed analytic form for transverse GWs.…”

Section: Overlap Reduction Functionsmentioning

confidence: 99%

“…Metric theories are grouped broadly into several categories: scalar tensor theories, in which a dynamical scalar field φ is present in addition to the metric (see Refs. [1][2][3][4][5][6][7][8][9]); vector-tensor theories, which contain a dynamic gravitational four-vector field in addition to the metric (see Refs. [7,[9][10][11][12]); and bimetric theories, which are characterized by "prior" geometry contained in dynamical scalar, vector or tensor fields (see Refs.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Stochastic backgrounds in alternative theories of gravity: Overlap reduction functions for pulsar timing arrays

2012

View full text Add to dashboard Cite

In the next decade gravitational waves might be detected using a pulsar timing array. In an effort to develop optimal detection strategies for stochastic backgrounds of gravitational waves in generic metric theories of gravity, we investigate the overlap reduction functions for these theories and discuss their features. We show that the sensitivity to non-transverse gravitational waves is greater than the sensitivity to transverse gravitational waves and discuss the physical origin of this effect. We calculate the overlap reduction functions for the current NANOGrav Pulsar Timing Array (PTA) and show that the sensitivity to the vector and scalar-longitudinal modes can increase dramatically for pulsar pairs with small angular separations. For example, the J1853+1303-J1857+0943 pulsar pair, with an angular separation of about 3• , is about 10 4 times more sensitive to the longitudinal component of the stochastic background, if it is present, than the transverse components.

show abstract

Section: Overlap Reduction Functionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stochastic backgrounds in alternative theories of gravity: Overlap reduction functions for pulsar timing arrays

2012

View full text Add to dashboard Cite

show abstract

“…(7). For scalar signals instead, the two wave functions, (h (1) , h (6) ), have been treated as independent since one is purely longitudinal and the other purely transverse to the direction of propagation of the GW.…”

Section: Sensitivitymentioning

confidence: 99%

“…The so-called f (R) theories are of this kind and predict the existence of two additional scalar degrees of freedom [6]. Vector polarization modes, on the other hand, can appear in the "quadratic gravity" formulations [6], and in the context of theories for which the graviton has a finite mass (such as the Visser theory [7]).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Alves

Tinto

2011

Phys. Rev. D

View full text Add to dashboard Cite

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

show abstract

Polarization modes of gravitational wave for viable f ( R ) $f(R)$ models

Sharif

Siddiqa

2017

Astrophys Space Sci

View full text Add to dashboard Cite

Probing the f(R) formalism through gravitational wave polarizations

Cited by 69 publications

References 19 publications

Stochastic backgrounds in alternative theories of gravity: Overlap reduction functions for pulsar timing arrays

Stochastic backgrounds in alternative theories of gravity: Overlap reduction functions for pulsar timing arrays

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

Polarization modes of gravitational wave for viable f ( R ) $f(R)$ models

Contact Info

Product

Resources

About