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Christian Corda

Publications and source records attributed to Christian Corda.

At least 91 records · Page 5Linked to original sources

Presentation of the Second Big Challenge Symposium - The Big Challenge of Cosmological Understanding: Gravitation, Dark Matter and Dark Energy. Towards New Scenarios

This Symposium is devoted to the Memory of Lev Kofman, June-17-1957-November-12-2009. The accelerated expansion of the Universe, which is today observed, shows that cosmological dynamics is dominated by the so-called Dark Energy field which provides a large negative pressure. This is the standard picture, in which such new ingredient is considered as a source of the right hand side of the field equations. It should be some form of non-clustered non-zero vacuum energy which, together with the clustered Dark Matter, drives the global dynamics. This is the so-called "concordance model" (ACDM) which gives, in agreement with the Cosmic Microwave Background Radiation (CMBR), dim Lyman Limit Systems (LLS) and type la supernovae (SNeIa) data, a good framework to understand the today observed Universe. However, it presents several shortcomings as the well known "coincidence" and "cosmological constant" problems . An alternative approach is to have a better understanding of the energy concept in General Relativity and also to change the left hand side of the field equations, and check if observed cosmic dynamics can be achieved by extending general relativity. In this different context, it is not required to search candidates for Dark Energy and Dark Matter, which till now have not been found. Rather, one can only stand on the "observed" ingredients: curvature and baryon matter, to account for the observations. Considering this point of view, one can think of that gravity is not scale-invariant. The goal of this Symposium is to obtain a tapestry of the present status of theory and observations concerning Gravitation and Dark Universe.

gr-qc↗

Primordial inflation from gravity's rainbow

In a recent paper, which has been published in Nature, the LIGO Scientific Collaboration (LSC) obtained an upper limit on the stochastic gravitational-wave background of cosmological origin by using the data from a two-year science run of the Laser Interferometer Gravitational- wave Observatory (LIGO). Such an upper limit rules out some models of early Universe evolution, like the ones with relatively large equation-of-state parameter and the cosmic (super) string models with relatively small string tension arising from some String Theory's models. It results also an upper limit for the relic stochastic background of gravitational waves (RSBGWs) which is proposed by the Pre-Big-Bang Theory. On the other hand, the upper bound on the RSBGWs which is proposed by the Standard Inflationary Model is well known and often updated by using the Wilkinson Microwave Anisotropy Probe (WMAP). The potential detection of such a RSBGWs is the only way to learn about the evolution of the very early universe, up to the bounds of the Planck epoch and the initial singularity. This is a kind of information that is inaccessible to standard astrophysical observations. By using a conformal treatment, a formula that directly connects the average amplitude of the RSBGWs with the Inflaton field has been re- cently obtained in our paper Gen. Rel. Grav. 42, 5, 1323-1333 (2010). In this proceeding, by joining this formula with the equation for the characteristic amplitude hC for the RSBGWs, the upper bounds on the RSBGWs from the WMAP and LSC data will be translated in lower bounds on the Inflaton field. The results show that the value of the Inflaton field that arises from the WMAP bound on the RSBGWs is totally in agreement with the famous slow roll condition on Inflation, while the value of the Inflaton field that arises from the LSC bound on the RSBGWs could be not in agreement with such a condition.

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Massive relic gravitational waves from f(R) theories of gravity: production and potential detection

The production of a stochastic background of relic gravitational waves is well known in various works in the literature, where, by using the so called adiabatically-amplified zero-point fluctuations process, it has been shown how the standard inflationary scenario for the early universe can in principle provide a distinctive spectrum of relic gravitational waves. In this paper, it is shown that, in general, f(R) theories of gravity produce a third massive polarization of gravitational waves and the primordial production of this polarization is analysed adapting the adiabatically-amplified zero-point fluctuations process at this case. In this way, previous results, where only particular cases of f(R) theories have been analysed, will be generalized. The presence of the mass could also have important applications in cosmology, because the fact that gravitational waves can have mass could give a contribution to the dark matter of the Universe. An upper bound for these relic gravitational waves, which arises from the WMAP constrains, is also released. At the end of the paper, the potential detection of such massive gravitational waves using interferometers like Virgo and LIGO is discussed.

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Gravitational Waves Astronomy: a cornerstone for gravitational theories

Realizing 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 gravitational physics. In this paper we re-discuss that the GW astronomy will permit to solve a captivating issue of gravitation. In fact, it will be the definitive test for Einstein's general relativity (GR), or, alternatively, a strong endorsement for extended theories of gravity (ETG).

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Gravitational waves astronomy: the ultimate test for Einstein's General Relativity

It is well known that Einstein's General Relativity (GR) achieved a great success and overcame lots of experimental tests. On the other hand, GR also showed some shortcomings and flaws which today advise theorists to ask if it is the definitive theory of gravity. In this review we show that, if advanced projects on the detection of Gravitational Waves (GWs) will improve their sensitivity, allowing to perform a GWs astronomy, understanding if Einstein's GR is the correct and definitive theory of gravity will be possible. For this goal, accurate angular and frequency dependent response functions of interferometers for GWs arising from various Theories of Gravity, i.e. GR and Extended Theories of Gravity will have to be used. This review is founded on the Essay which won an Honorable Mention at the the 2009 Gravity Research Foundation Awards.

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Gravitomagnetism and gravitational waves

After extensively reviewing general relativistic gravitomagnetism, both historically and phenomenologically, we review in detail the so-called magnetic components of gravitational waves (GWs), which have to be taken into account in the context of the total response functions of interferometers for GWs propagating from arbitrary directions. Following the more recent approaches of this important issue, the analysis of such magnetic components will be reviewed in both of standard General Theory of Relativity (GTR) and Scalar Tensor Gravity. Thus, we show in detail that such a magnetic component becomes particularly important in the high-frequency portion of the range of ground based interferometers for GWs which arises from the two different theories of gravity. Our reviewed results show that if one neglects the magnetic contribution to the gravitational field of a GW, approximately 15% of the potential observable signal could, in principle, be lost.

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Information on the inflaton field from the spectrum of relic gravitational waves

After a review of a traditional analysis, it is shown a variation of a more recent treatment on the spectrum of relic gravitational waves (GWs). Then, a connection between the two different treatments will be analysed. Such a connection permits to obtain an interesting equation for the inflaton field. This equation gives a value that agrees with the slow roll condition on inflation.

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Will gravitational waves confirm Einstein's General Relativity?

Even if Einstein's General Relativity achieved a great success and overcame lots of experimental tests, it also showed some shortcomings and flaws which today advise theorists to ask if it is the definitive theory of gravity. In this proceeding paper it is shown that, if advanced projects on the detection of Gravitational Waves (GWs) will improve their sensitivity, allowing to perform a GWs astronomy, accurate angular and frequency dependent response functions of interferometers for GWs arising from various Theories of Gravity, i.e. General Relativity and Extended Theories of Gravity, will be the ultimate test for General Relativity. This proceeding paper is also a short review of the Essay which won Honorable Mention at the 2009 Gravity Research Foundation Awards.

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Gravitomagnetic effect in gravitational waves

After an introduction emphasizing the importance of the gravitomag- netic effect in general relativity, with a resume of some space-based appli- cations, we discuss the so-called magnetic components of gravitational waves (GWs), which have to be taken into account in the context of the total response functions of interferometers for GWs propagating from ar- bitrary directions.

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Interferometric detection of gravitational waves: the definitive test for General Relativity

Even if Einstein's General Relativity achieved a great success and overcame lots of experimental tests, it also showed some shortcomings and flaws which today advise theorists to ask if it is the definitive theory of gravity. In this essay we show that, if advanced projects on the detection of Gravitational Waves (GWs) will improve their sensitivity, allowing to perform a GWs astronomy, accurate angular and frequency dependent response functions of interferometers for GWs arising from various Theories of Gravity, i.e. General Relativity and Extended Theories of Gravity, will be the definitive test for General Relativity. The papers which found this essay have been the world's most cited in the official Astroparticle Publication Review of ASPERA during the 2007 with 13 citations.

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A spherically symmetric and stationary universe from a weak modification of general relativity

It is shown that a weak modification of general relativity, in the linearized approach, renders a spherically symmetric and stationary model of the universe. This is due to the presence of a third mode of polarization in the linearized gravity in which a "curvature" energy term is present. Such an energy can, in principle, be identified as the Dark Energy. The model can also help to a better understanding of the framework of the Einstein-Vlasov system.

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Interferometric detection of gravitational waves arising from extended theories of gravity

Even if Einstein's General Relativity achieved a great success and overcame lots of experimental tests, it also showed some shortcomings and flaws which today advise theorists to ask if it is the definitive theory of gravity. In this letter Proceeding we show that, by assuming that advanced projects on the detection of Gravitational Waves (GWs) will improve their sensitivity, allowing to perform a GWs astronomy, accurate angular and frequency dependent response functions of interferometers for GWs arising from various Theories of Gravity, i.e. General Relativity and Extended Theories of Gravity, could aim in discriminating among various theories.

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A review of the stochastic background of gravitational waves in f(R) gravity with WMAP constrains

This paper is a review of previous works on the stochastic background of gravitational waves (SBGWs) which has been discussed in various peer-reviewed journals and international conferences. The SBGWs is analyzed with the aid of the Wilkinson Microwave Anisotropy Probe (WMAP) data. We emphasize that, in general, in previous works in the literature about the SBGWs, old Cosmic Background Explorer (COBE) data were used. After this, we want to face the problem of how the SBGWs and f(R) gravity (where f(R) is a function of the Ricci scalar R) can be related, showing, vice versa, that a revealed SBGWs could be a powerful probe for a given theory of gravity. In this way, it will also be shown that the conform treatment of SBGWs can be used to parametrize in a natural way f(R) theories. Some interesting examples which have been recently discussed in the literature will be also analysed. The presence and the potential detection of the SBGWs is quite important in the framework of the debate on high-frequency gravitational waves (HFGWs) too. Recently, the importance of HFGWs has been emphasized in some papers in the literature.

astro-ph.CO↗

Gravitational waves in the Hyperspace?

In the framework of the debate on high-frequency gravitational waves (GWs), after a review of GWs in standard General Relativity, which is due for completness, the possibility of merging such a traditional analysis with the Hyperspace formalism that has been recently introduced in some papers in the literature, with the goal of a better understanding of manifolds dimensionality also in a cosmological framework, is discussed. Using the concept of refractive index in the Hyperspace, spherical solutions are given and the propagation of GWs in a region of the Hyperspace with an unitary refractive index is also discussed. Propagation phenomena associated to the higher dimensionality are proposed, possibly including non-linear effects. Further and accurate studies in this direction are needed.

astro-ph.CO↗

Massive gravitational waves from f(R) theories of gravity: Potential detection with LISA

This letter is a generalization of previous results on gravitational waves (GWs) from f(R) theories of gravity. In some previous papers, particular f(R) theories have been linearized for the first time in the literature. Now, the process is further generalized, showing that every f(R) theory can be linearized producting a third massive mode of gravitational radiation. In this framework, previous results are particular cases of the more general problem that is discussed in this letter. The potential detectability of such massive GWs with LISA is also discussed with the auxilium of longitudinal response functions.

astro-ph↗

Primordial production of massive relic gravitational waves from a weak modification of General Relativity

The production of a stochastic background of relic gravitational waves is well known in various works in the literature, where, using the so called adiabatically-amplified zero-point fluctuations process it has been shown how the standard inflationary scenario for the early universe can in principle provide a distinctive spectrum of relic gravitational waves. In this paper, it is shown that a weak modification of General Relativity produces a third massive polarization of gravitational waves and the primordial production of this polarization is analysed adapting the adiabatically-amplified zero-point fluctuations process at this case. The presence of the mass could also have important applications in cosmology as the fact that gravitational waves can have mass could give a contribution to the dark matter of the Universe. At the end of the paper an upper bound for these relic gravitational waves, which arises from the WMAP constrains, is also released.

gr-qc↗

A longitudinal component in massive gravitational waves arising from a bimetric theory of gravity

After a brief review of the work of de Paula, Miranda and Marinho on massive gravitational waves arising from a bimetric theory of gravity, in this paper it is shown that the presence of the mass generates a longi- tudinal component in a particular polarization of the wave. The effect of this polarization on test masses is performed using the geodesic deviation. A the end of this paper the detectability of this particular polarization is also discussed, showing that its angular dependence could, in princi- ple, discriminate such polarization with respect the two ones of general relativity, if present or future detectors will achieve a high sensitivity.

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An oscillating, homogeneous and isotropic Universe from Scalar-Tensor gravity

An oscillating, homogeneous and isotropic Universe which arises from Scalar-Tensor gravity is discussed in the linearized approach, showing that some observative evidences like the Hubble Law and the Cosmological Redshift are in agreement with the model. In this context Dark Energy appears like a pure curvature effect arising by the scalar field.

astro-ph↗