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  • 1
    Electronic Resource
    Electronic Resource
    Higher-dimensional Vaidya metric with an electromagnetic field (1990)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 31 (1990), S. 2208-2210 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: An exterior solution is obtained for a charged radiating sphere in higher dimensions. The solution reduces to an earlier one obtained by Krori and Barua [J. Phys. A 7, 2125 (1974)] when the space-time dimension is four, and to one obtained by Iyer and Vishveshwara [J. Phys. 32, 749 (1989)] when the electromagnetic field is switched off.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528626
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  • 2
    Electronic Resource
    Electronic Resource
    Radiating sphere in a Kaluza–Klein space–time (1994)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 35 (1994), S. 6619-6627 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The well-known solution of Vaidya for a radiating sphere in a Kaluza–Klein-type of space–time is extended. The field equations yield a two-parameter solution—either an exactly four-dimensional Vaidya metric with a flat extra space tucked to it or a flat Minkowski space–time. The geodesic trajectories of test particles in this field are studied and some astrophysical consequences due to the presence of the extra space are also briefly discussed. © 1994 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530696
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  • 3
    Electronic Resource
    Electronic Resource
    Higher dimensional cosmological model with homogeneous perfect fluid
    Amsterdam : Elsevier
    Physics Letters A 149 (1990), S. 91-94 
    Details
    ISSN: 0375-9601
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0375-9601(90)90531-R
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  • 4
    Electronic Resource
    Electronic Resource
    Non-adiabatic gravitational collapse in higher dimensional space-time and its junctions conditions (1995)
    Springer
    Astrophysics and space science 226 (1995), S. 7-18 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Junction conditions are studied at the boundary of a higher dimensional spherical distribution containing an outgoing heat flow and radiation flux. Our analysis extends to higher dimension, an important observation of Santos that for a collapsing fluid with radial heat flow the isotropic pressure on the surface of discontinuity does not vanish. Some physically relevant parameters like luminosity, mass function for the bounded distribution and also the time required for horizon formation are also calculated and it is observed that the dimensionality of space-time does not qualitatively alter the analogous results of the ‘standard’ space time.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00626894
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  • 5
    Electronic Resource
    Electronic Resource
    Viscous fluid in a kaluza-klein metric (1990)
    Springer
    Astrophysics and space science 167 (1990), S. 61-67 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Exact solutions are obtained in a five-dimensional space-time with an energy-momentum tensor containing a viscous fluid, assuming either an equation of state or a special form for the viscous term in line with the assumption of Belinskii and Khalatnikov (1977). The solutions are, in fact, generalizations of an earlier work by Grøn for a perfect fluid in the 5D rest-mass varying theory of gravity proposed recently by Wesson. It is found that dimensional reduction of the extra space takes place in some of the cases such that the 5-dimensional universe naturally evolves into an effective 4-dimensional one. A huge amount of entropy can be produced following this shrinkage of extra-dimension which may account for the very large value of entropy per baryon observed in our 4D world. Moreover, the observed constancy of the rest-mass in the present era is also interpreted.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00642063
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  • 6
    Electronic Resource
    Electronic Resource
    Higher dimensional cosmological model with a time-dependent equation of state (1994)
    Springer
    Astrophysics and space science 213 (1994), S. 299-303 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A homogeneous cosmological model in higher dimension is obtained assuming a timedependent equation of state. It is observed that as usual 3-D space expands, extra space (space belonging to the other dimensions) reduces with time, thus exhibiting the desired feature of dimensional reduction. The dynamical behavior of the model is examined and it is noted that with a decrease in extra space the observable 3-D space entropy increase, thus accounting for the large value of entropy observable at present.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00658216
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  • 7
    Electronic Resource
    Electronic Resource
    Inhomogeneous Kaluza-Klein model with heat flow (1996)
    Springer
    General relativity and gravitation 28 (1996), S. 633-639 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We present a cosmological model in Kaluza-Klein spacetime with a matter field obeying an equation of state and a radial heat flow. The (3+1)space resembles that of a Robertson-Walker spacetime, but unlike the corresponding four-dimensional case our five-dimensional spacetime admits a radial flow of heat even when the three-space curvature remains a constant. Further our solution exhibits the desirable feature of dimensional reduction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02105071
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  • 8
    Electronic Resource
    Electronic Resource
    Spherical symmetry and mass-energy in higher dimensions (1993)
    Springer
    International journal of theoretical physics 32 (1993), S. 671-681 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The components of the Einstein tensor and other relations are given for a spherically symmetric metric in null coordinates in higher dimensions. These relations are particularly relevant to the study of gravitational collapse of a perfect fluid with heat flow but without viscosity, where the exterior space cannot be considered as vacuum and matching to Schwarzschild space-time is not suitable. The analysis generalizes to higher dimensions work of Cahill and McVittie in 4D space-time. Using the expression for the “mass function,” it is observed that pressure vanishes at the boundary of the distribution for a perfect fluid in the higher-dimensional case also, but the same is not true when heat flow is considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00673769
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