Sobre el espacio-tiempo admitiendo algunas estructuras geométricas en tensores de energía-momento

Publicado

2017-07-01

On the space-time admitting some geometric structures on energy-momentum tensors

Sobre el espacio-tiempo admitiendo algunas estructuras geométricas en tensores de energía-momento

Palabras clave:

General relativistic perfect fluid space-time, Einstein's field equation, energy-momentum tensor, semi-symmetric energy-momentum tensor (en)
Espacio-tiempo fluido general relativista perfecto, campo de Einstein, tensor energía-momento, tensor semi-simétrico de energía-momento (es)

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Autores/as

Kanak Kanti Baishya Kurseong College
Ajoy Mukharjee St. Joseph's College

Resumen (en)
Resumen (es)

This paper presents a study of a general relativistic perfect fluid space-time admitting various types of curvature restrictions on energy-momentum tensors and brings out the conditions for which uids of the space-time are sometimes phantom barrier and some other times quintessence barrier. The existence of a space{time where fluids behave as phantom barrier is ensured by an example.

Este artículo presenta un estudio del tiempo-espacio fluido perfecto relativista general admitiendo varios tipos de restricciones de curvatura en los tensores de energía-momento y saca a relucir las condiciones para las cuales los fluidos del espacio-tiempo son a veces barrera fantasma y otras veces barrera de quintaesencia. La existencia de un espacio-tiempo donde los líquidos se comportan como barrera fantasma es garantizado por un ejemplo.

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Citas

Z. Ahsan, On a geometrical symmetry of the spacetime of genearal relativity, Bull. Cal. Math. Soc. 97 (2005), no. 3, 191-200.

R. Aikawa and Y. Matsuyama, On the local symmetry of Kaehler hyper-

surfaces, Yokohoma Math. J. 51 (2005), 63-73.

L. Amendola and S. Tsujikawa, Dark energy: theory and observations,

Cambridge University Press, 2010.

K. K. Baishya and P. Roy Chowdhury, On generalized quasi-conformal

n(k; u)-manifolds, Commun. Korean Math. Soc. 31 (2016), no. 1, 163-176.

M. C. Chaki and S. Roy, Spacetimes with covariant-constant energy-

momentum tensor, Internat. J. Theoret. Phys. 35 (1996), 1027-1032.

S. Chakraborty, N. Mazumder, and R. Biswas, Cosmological evolution

across phantom crossing and the nature of the horizon, Astrophys. Space

Sci. 334 (2011), 183-186.

U. C. De and L. Velimirovic, Spacetimes with semisymmetric energy-

momentum tensor, Internat. J. Theoret. Phys. 54 (2015), 17791783.

K. L. Duggal, Space time manifolds and contact structures, Int. J. Math.

Math. Sci. 13 (1990), 545-554.

L. P. Eisenhart, Riemannian geometry, Princeton University Press, 1949.

Y. Ishii, On conharmonic transformations, Tensor (N.S.) 7 (1957), 73-80.

B. O'Neill, Semi-Riemannian geometry, Academic Press Inc, New York,

G. P. Pokhariyal and R. S. Mishra, Curvature tensors and their relativistic significance, Yokohama Math. J. 18 (1970), 105-108.

H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers, and E. Herlt, Exact solutions of Einstein's field equations, 2nd ed., Cambridge Monographs on Mathematical Physics, Cambridge Univ. Press, 2003.

Z. I. Szabó, Structure theorems on Riemannian spaces satisfying r(x; y).

r = 0. i. the local version, J. Differential Geom. 17 (1982), 531-582.

K. Yano and S. Bochner, Curvature and Betti numbers, Annals of Mathematics Studies 32, Princeton University Press, 1953.

K. Yano and S. Sawaki, Riemannian manifolds admitting a conformal

transformation group, J. Differential Geom. 2 (1968), 161-184.