126 research outputs found
Comment on "Late-time tails of a self-gravitating massless scalar field revisited" by Bizon et al: The leading order asymptotics
In Class. Quantum Grav. 26 (2009) 175006 (arXiv:0812.4333v3) Bizon et al
discuss the power-law tail in the long-time evolution of a spherically
symmetric self-gravitating massless scalar field in odd spatial dimensions.
They derive explicit expressions for the leading order asymptotics for
solutions with small initial data by using formal series expansions.
Unfortunately, this approach misses an interesting observation that the actual
decay rate is a product of asymptotic cancellations occurring due to a special
structure of the nonlinear terms. Here, we show that one can calculate the
leading asymptotics more directly by recognizing the special structure and
cancellations already on the level of the wave equation.Comment: 7 pages; minor simplifications in the notation; some comments
withdrawn or rewritten after improvements in the new version (v3) of the
commented paper; 1 reference adde
Eco-biostratigraphic advances in late quaternary geochronology and palaeoclimate : the marginal Gulf of Mexico analogue
This study combines high-resolution planktonic foraminiferal eco-biostratigraphy and palaeoclimatic data from the high-sedimentation-rate core JPC-26 from the northwestern margin of the Gulf of Mexico (GoM). The eco-biozones recognized (GOMPFE1-12) being correlated with published Mg/Ca-based sea surface temperatures. This updated palaeoclimatic and stratigraphic reference record facilitates correlations with the Greenland ice core events and their climatic relationships, and also provides a solid stratigraphic framework for correlations with other palaeoclimatic and palaeoceanographic records in the circum-GOM/Caribbean region. This multidisciplinary approach underlines the utility of supporting conventional dating methodologies with different constraints, and further reveals a powerful tool for reliably correlating marine records between comparable deep-sea marginal settings and coeval sequences of this region
Probing the stability of gravastars by dropping dust shells onto them
As a preparation for the dynamical investigations, this paper begins with a
short review of the three-layer gravastar model with distinguished attention to
the structure of the pertinent parameter space of gravastars in equilibrium.
Then the radial stability of these types of gravastars is studied by
determining their response for the totally inelastic collision of their surface
layer with a dust shell. It is assumed that the dominant energy condition holds
and the speed of sound does not exceed that of the light in the matter of the
surface layer. While in the analytic setup the equation of state is kept to be
generic, in the numerical investigations three functionally distinct classes of
equations of states are applied. In the corresponding particular cases the
maximal mass of the dust shell that may fall onto a gravastar without
converting it into a black hole is determined. For those configurations which
remain stable the excursion of their radius is assigned. It is found that even
the most compact gravastars cannot get beyond the lower limit of the size of
conventional stars, provided that the dominant energy condition holds in both
cases. It is also shown---independent of any assumption concerning the matter
interbridging the internal de Sitter and the external Schwarzschild
regions---that the better is a gravastar in mimicking a black hole the easier
is to get the system formed by a dust shell and the gravastar beyond the event
horizon of the composite system. In addition, a generic description of the
totally inelastic collision of spherical shells in spherically symmetric
spacetimes is also provided in the appendix.Comment: 29 pages, 10 figure
Sharp bounds on the critical stability radius for relativistic charged spheres
In a recent paper by Giuliani and Rothman \cite{GR}, the problem of finding a
lower bound on the radius of a charged sphere with mass M and charge Q<M is
addressed. Such a bound is referred to as the critical stability radius.
Equivalently, it can be formulated as the problem of finding an upper bound on
M for given radius and charge. This problem has resulted in a number of papers
in recent years but neither a transparent nor a general inequality similar to
the case without charge, i.e., M\leq 4R/9, has been found. In this paper we
derive the surprisingly transparent inequality
The
inequality is shown to hold for any solution which satisfies
where and are the radial- and tangential pressures respectively
and is the energy density. In addition we show that the inequality
is sharp, in particular we show that sharpness is attained by infinitely thin
shell solutions.Comment: 20 pages, 1 figur
Santorini volcano as a potential Martian analogue: The Balos Cove Basalts
The interpretation of geologic processes on Mars from sparse meteorite, remote sensing and rover data is influenced by knowledge gained from well-characterized terrestrial analogues. This calls for detailed study of candidate terrestrial analogues and comparison of their observable features to those encountered on the surface of Mars. We evaluated the mineralogical, geochemical, and physical properties of the Balos cove basalts (BCB) from the island of Santorini and compared them to Martian meteorites, Mars rover surface measurements, and other verified Martian analogues obtained from the International Space Analogue Rockstore (ISAR). Twenty rock samples were collected from the Balos cove area based on their freshness, integrity, and basaltic appearance in the field. Optical microscopy of BCB revealed a pilotaxitic to trachytic texture, with olivine and clinopyroxenephenocrysts in a fine groundmass of olivine, clinopyroxene, plagioclase, magnetite, and devitrified glass. All major minerals show normal zoning, including calcic plagioclase (An_(78–85) at the core and An_(60–76) at the rim), augite (En_(36-48)Wo_(41-44)Fs_(11–21)), and olivine (Fo_(74–88)). The dominant bands in the infrared-attenuated total reflectance (IR-ATR) spectra from BCB can be assigned to olivine (~875 cm−1), calcic plagioclase (~1130 cm^(−1)), and augite (~970 cm^(−1)). The whole-rock chemical compositions and mineralogy of the BCB are similar to published analyses of typical olivine-phyric shergottites and basalts and basaltic materials analyzed in Gusev and Gale craters on Mars. BCB porosity is in the range of 7–15% and is similar to the porosities of the ISAR samples. Although no terrestrial rock is ever a perfect match to Martian compositions, the differences in mineralogy and geochemistry between BCB and some classes of Martian samples are relatively subtle and the basalts of Santorini are as close a match as other accepted Mars basalt analogues. The Santorini site offers excellent field logistics that, together with the petrology of the outcrop, makes it a valuable locality for testing and calibration deployments, field training, and other activities related to current and future Mars exploration
GEOMORPHOLOGY, SEDIMENTOLOGY AND GEOCHEMISTRY IN THE MARINE AREA BETWEEN SIFNOS AND KIMOLOS ISLANDS, GREECE
Στην ελάχιστα μελετημένη θαλάσσια περιοχή μεταξύ των νησιών Σίφνου και Κιμώλου πραγματοποιήθηκε μια εκτεταμένη ωκεανογραφική μελέτη, με σκοπό την καταγραφή της υποθαλάσσιας μορφολογίας και των χαρακτηριστικών των επιφανειακών ιζημάτων, καθώς και της πηγής προέλευσης αυτών. Έγιναν καταγραφές με πολυδεσμικό βυθόμετρο και δειγματοληψίες επιφανειακών ιζημάτων με box corer με το Ω/Κ Αιγαίο και ακολούθησαν αναλύσεις μεγέθους κόκκων, ορυκτολογίας και γεωχημείας. Ένα μεγάλο βαθυμετρικό βύθισμα εντοπίστηκε βόρεια της Κιμώλου, με μέγιστο βάθος 743 μ., που συγκεντρώνει λεπτόκοκκα ιζήματα. Η κατανομή των ιζημάτων ως προς το μέγεθος κόκκων χαρακτηρίζεται από σταδιακή μείωση του μεγέθους από νότο προς βορρά. Η ορυκτολογική σύσταση περιλαμβάνει ασβεστίτη, Mg-ασβεστίτη, αραγωνίτη, δολομίτη, χαλαζία, Κ-άστριους, πλαγιόκλαστα, αμφίβολους και αργιλικά ορυκτά. Οι κύριες ιζηματολογικές επαρχίες που αναγνωρίστηκαν είναι 1) η ρηχή περιοχή πλησίον της Κιμώλου, με υψηλό περιεχόμενο σε Si, Al, K, Rb και Ba, 2) η βαθιά περιοχή δυτικά της Σίφνου, όπου εμφανίζεται και το μεγάλο βύθισμα, που χαρακτηρίζεται από υψηλό περιεχόμενο σε Fe, Ti, Na, Mg, S, Cr, Cu, Ni, V, Zn και 3) το στενό μεταξύ Σίφνου και Κιμώλου, με υψηλότερο περιεχόμενο σε Ca, S και Sr. Στο βύθισμα αυτό, παρατηρήθηκε σημαντικός εμπλουτισμός των ιζημάτων σε μαγγάνιο, ενώ τα οξείδια του Mn φαίνεται να προσροφούν διάφορα μέταλλα.An extensive oceanographic survey was conducted in the marine area between Kimolos and Sifnos Islands, a rather poorly-studied sector of the Aegean Sea, in order to gain better understanding of submarine geomorphological features and associated sediment provenance. Multi-beam bathymetry and surface sediment sampling with a box corer were carried out on board R/V Aegaeo, followed by grain-size analysis, XRD and XRF measurements. A large circular depression was identified north of Kimolos reaching a water depth of 743 m, filled with fine grained sediments. Surface sediment distribution is characterized by gradual decrease in grain-size from silty sand to silt in a S-N direction. The mineralogical composition comprises calcite, Mgcalcite, aragonite, dolomite, quartz, K feldspars, plagioclase, amphiboles and clay minerals. Major sediment provinces identified were: (i) the shallow sector proximal to Kimolos, characterized by higher contents in Si, Al, K, Rb and Ba; (ii) the deep area west of Sifnos, including the large depression, characterized by higher contents in Fe, Ti, Na, Mg, S, Cr, Cu, Ni, V, Zn; and (iii) the south passage between Kimolos and Sifnos, which exhibits higher Ca, S, and Sr contents. Manganese enrichment was observed in and around the bathymetric depression, where Mn oxides act efficiently as scavengers of a suite of metals
The influence of the Evros River on the recent sedimentation of the inner shelf of the NE Aegean Sea
Abstract The transboundary Evros River discharges into the Alexandroupolis Gulf, located in the inner shelf of the northeastern Aegean Sea, where it has formed an extended delta. Grain-size and mineralogical analyses of five sediment cores, collected in the subaqueous delta, provide the following information about recent sedimentation processes in the northeastern part of the Aegean shelf: (a) river mouth deposits, consisting of coarse-grained sediments, are mainly deposited in front of the active mouth, whilst some sandy material is expected to be transported alongshore by nearshore currents; (b) delta front deposits are characterised by fine-grained sediments that include evidence of human activities which have taken place, in a more intense way, since the 1950s; and (c) prodelta deposits are represented by almost uniform riverine mud that cover the pre-existed relict sands of the shelf, indicating also the limit (some 15 km to the SW) of the influence of riverine sedimentation on the seabed of the inner shelf of the Alexandroupolis Gulf
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