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  • 1
    Electronic Resource
    Electronic Resource
    Comment on Ricci collineations of static spherically symmetric spacetimes [J. Math. Phys. 35, 3005–3012 (1994)] (1996)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 37 (1996), S. 1086-1088 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We present a counter example to a theorem given by Amir et al. [J. Math. Phys. 35, 3005–3012 (1994)]. We also comment on a misleading statement of the same reference. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531427
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  • 2
    Electronic Resource
    Electronic Resource
    Supernovae: Where and why do they break off? (1992)
    Springer
    Astrophysics and space science 188 (1992), S. 9-18 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The precise mechanism whereby gravitational collapse leads to a type II supernova event is one of the most controversial points in the understanding of the final stages of stellar evolution. The ‘bounceshock’ mechanism and the proposed ‘long-term neutrino mediated’ processes compete to explain the ejection of the outer envelopes of the star. Despite their differences, both descriptions consider the shock as mainly responsible for the ejection of the outer mantle in a supernova burst. In this note we discuss results from collapse calculations in which the shock is considered as an interface separating the quasi-static stiff core from the outer mantle. In the models considered the shock fades out and becomes a new boundary surface delimiting the compact homogeneous remnant. The resulting pictures become intelligible in the light of a recently proposed generalization of the concept of adiabatic index for systems where radiation flux is present.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00642923
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  • 3
    Electronic Resource
    Electronic Resource
    Radiation hydrodynamics and Radiating Spheres in General Relativity (1994)
    Springer
    Astrophysics and space science 219 (1994), S. 153-170 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We comment on a method proposed to study the evolution of General Relativistic Radiating Spheres in both radiation limits, i.e. free streaming out and diffusion, extending it to handle any general radiating spherically symmetric distribution of matter. It is also shown that several dynamic models may emerge from a sole static equation of state. Previous erroneous calculations concerning this method are also commented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00628235
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  • 4
    Electronic Resource
    Electronic Resource
    Luminosity profiles and the contraction of radiating spheres in general relativity (1995)
    Springer
    Astrophysics and space science 225 (1995), S. 167-181 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A semi-numeric method by Herrera, Jiménez and Ruggeri is used to study the evolution of general relativistic spheres in the free streaming radiation approximation when specific contraction schemes are imposed and for particular oscillatory radiation profiles. On one hand, the emerging radiation is studied for oscillating contracting spheres, on the other, the variation of the boundary surface is analyzed when a pulsating profile is provided. We considered three particular equations of state previously studied. It is found that the oscillatory frequency of the surface for the equations of state considered coincide with the frequency of the oscillation for the radiation profile.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00613233
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  • 5
    Electronic Resource
    Electronic Resource
    Ricci Collineations for Type B Warped Space-times (1997)
    Springer
    General relativity and gravitation 29 (1997), S. 1223-1237 
    Details
    ISSN: 1572-9532
    Keywords: WARPED PRODUCT ; SYMMETRY PROPERTIES OF SPACE-TIMES
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We present the general structure of proper Ricci Collineations (RC) for type B warped space-times. Within this framework, we give a detailed description of the most general proper RC for spherically symmetric metrics. As examples, static spherically symmetric and Friedmann-Robertson-Walker space-times are considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018807728811
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  • 6
    Electronic Resource
    Electronic Resource
    Radiating spheres in general relativity with a mixed transport energy flow (1991)
    Springer
    Astrophysics and space science 178 (1991), S. 261-275 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A semi-numerical method by Herreraet al. (1980) is extended to handle the evolution of general relativistic spheres where diffusion and free streaming radiation processes coexist. It is shown when mixed-mode radiation is present a very different hydrodynamic picture emerges from the models previously considered in both radiation limit. Characteristic times for free streaming, hydrodynamics, and diffusion processes are considered comparable. Hydrodynamics and radiation are strongly coupled and the particular equation of state of the model emerges as a very important element in the dynamic of the matter distribution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00643843
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  • 7
    Electronic Resource
    Electronic Resource
    Ricci Collineations for Non-degenerate, Diagonal and Spherically Symmetric Ricci Tensors (2000)
    Springer
    General relativity and gravitation 32 (2000), S. 285-294 
    Details
    ISSN: 1572-9532
    Keywords: Collineations for space-times
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The expression of the vector field generator of a Ricci collineation for diagonal, spherically symmetric and non-degenerate Ricci tensors is obtained. The resulting expressions show that the time and radial first derivatives of the components of the Ricci tensor can be used to classify the collineation, leading to 64 families. Some examples illustrate how to obtain the collineation vector.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1001983426767
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  • 8
    Electronic Resource
    Electronic Resource
    Checking collineation vectors with reduce (1992)
    Springer
    General relativity and gravitation 24 (1992), S. 1125-1129 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A package of programs for writing and checking the solutions to the equations for various types of collineations, written in the symbolic manipulation language REDUCE is presented. Some examples of previously found collineations that have been checked are given, and new results reported.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00756988
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    Paper (German National Licenses)
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  • 9
    Electronic Resource
    Electronic Resource
    Luminosity profiles and contraction of radiating spheres (1994)
    Springer
    General relativity and gravitation 26 (1994), S. 537-553 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A seminumeric method by Herrera, Jiménez and Ruggeri is used to study the evolution of general relativistic spheres in the free streaming radiation approximation, when specific contraction schemes are imposed and for particular oscillatory radiation profiles. On one hand, the emerging radiation is studied for oscillating contracting spheres, on the other, the variation of the boundary surface is analyzed when a pulsating profile is provided. We consider three particular equations of state previously studied. It is found that the oscillatory frequency of the surface for the equations of state considered coincides with the frequency of the oscillation for the radiation profile.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02107997
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    Paper (German National Licenses)
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