The Cauchy problem of scalar–tensor theories of gravity

Salgado, Marcelo

doi:10.1088/0264-9381/23/14/010

Cited by 130 publications

(187 citation statements)

References 96 publications

Supporting

Mentioning

182

Contrasting

Order By: Relevance

“…Two recent works on different directions allow for optimism. In the case of GR coupled with a scalar and/or vector field, the mathematical structure of the evolution equations is expected to be preserved [294,295]. In line with this expectation, numerical relativity simulations of binary black hole coalescences in scalar/tensor theory have recently been performed [293].…”

Section: Numerical Relativity and Alternative Theories Of Gravitymentioning

confidence: 99%

NR/HEP: roadmap for the future

Cardoso

Gualtieri

Herdeiro

et al. 2012

Class. Quantum Grav.

View full text Add to dashboard Cite

Abstract. Physics in curved spacetime describes a multitude of phenomena, ranging from astrophysics to high energy physics. The last few years have witnessed further progress on several fronts, including the accurate numerical evolution of the gravitational field equations, which now allows highly nonlinear phenomena to be tamed. Numerical relativity simulations, originally developed to understand strong field astrophysical processes, could prove extremely useful to understand high-energy physics processes like trans-Planckian scattering and gauge-gravity dualities. We present a concise and comprehensive overview of the state-of-the-art and important open problems in the field(s), along with guidelines for the next years. This writeup is a summary of the "NR/HEP Workshop" held in Madeira, Portugal from August 31st to September 3rd 2011.arXiv:1201.5118v1 [hep-th]

show abstract

Section: Numerical Relativity and Alternative Theories Of Gravitymentioning

confidence: 99%

NR/HEP: roadmap for the future

Cardoso

Gualtieri

Herdeiro

et al. 2012

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…. The Cauchy problem was shown to be well-posed for particular scalar-tensor theories in [104,105] but a general analysis has been completed only relatively recently [106,107]. A separate treatment, however, was necessary for 3/2 0, = ! "…”

Section: The Initial Value Problemmentioning

confidence: 99%

A Bird's Eye View of f (R)-Gravity

Capozziello¹,

Laurentis²,

Faraoni³

2010

TOAAJ

112

135

View full text Add to dashboard Cite

Abstract:The currently observed accelerated expansion of the Universe suggests that cosmic flow dynamics is dominated by some unknown form of dark energy characterized by a large negative pressure. This picture comes out when such a new ingredient, beside baryonic and dark matter, is considered as a source in the r.h.s. of the field equations. Essentially, it should be some form of un-clustered, non-zero vacuum energy which, together with (clustered) dark matter, should drive the global cosmic dynamics. Among the proposals to explain the experimental situation, the "concordance model", addressed as ! CDM, gives a reliable snapshot of the today observed Universe according to the CMBR, LSS and SNeIa data, but presents dramatic shortcomings as the "coincidence and cosmological constant problems" which point out its inadequacy to fully trace back the cosmological dynamics. On the other hand, alternative theories of gravity, extending in some way General Relativity, allow to pursue a different approach giving rise to suitable cosmological models where a late-time accelerated expansion can be achieved in several ways. This viewpoint does not require to find out candidates for dark energy and dark matter at fundamental level (they have not been detected up to now), it takes into account only the "observed" ingredients (i.e. gravity, radiation and baryonic matter), but the l.h.s. of the Einstein equations has to be modified. Despite of this modification, it could be in agreement with the spirit of General Relativity since the only request is that the Hilbert-Einstein action should be generalized asking for a gravitational interaction acting, in principle, in different ways at different scales. We survey the landscape of ) (R f theories of gravity in their various formulations, which have been used to model the cosmic acceleration as alternatives to dark energy and dark matter. Besides, we take into account the problem of gravitational waves in such theories. We discuss some successes of ) (R f -gravity (whereis a generic function of Ricci scalar R ), theoretical and experimental challenges that they face in order to satisfy minimal criteria for viability.

show abstract

“…Thus, some authors claim that physics must be different in the two different frames, see [31,32] for example. Another important point concerns doubts on the physical equivalence in respect to the Cauchy problem [33,34].…”

Section: Introductionmentioning

confidence: 99%

Gravitational wave astronomy: The definitive test for the “Einstein frame versus Jordan frame” controversy

Corda

2011

Astroparticle Physics

View full text Add to dashboard Cite

The potential realization of a gravitational wave (GW) astronomy in next years is a great challenge for the scientific community. By giving a significant amount of new information, GWs will be a cornerstone for a better understanding of the universe and of the gravitational physics.In this paper the author shows that the GW astronomy will permit to solve a captivating issue of gravitation as it will be the definitive test for the famous "Einstein frame versus Jordan frame" controversy.In fact, we show that the motion of the test masses, i.e. the beam splitter and the mirror in the case of an interferometer, which is due to the scalar component of a GW, is different in the two frames. Thus, if a consistent GW astronomy will be realized, an eventual detection of signals of scalar GWs will permit to discriminate among the two frames. In this way, a direct evidence from observations will solve in an ultimate way the famous and long history of the "Einstein frame versus Jordan frame" controversy.

show abstract

The Cauchy problem of scalar–tensor theories of gravity

Cited by 130 publications

References 96 publications

NR/HEP: roadmap for the future

NR/HEP: roadmap for the future

A Bird's Eye View of f (R)-Gravity

Gravitational wave astronomy: The definitive test for the “Einstein frame versus Jordan frame” controversy

Contact Info

Product

Resources

About