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Corrigendum to: Kaluza-Klein Cosmological Model, Strange Quark Matter, and Time-Varying Lambda

This erratum corrects the original online version which can be found here: https://doi.org/10.5560/zna.2013-0079
  • Namrata Jain EMAIL logo , Shyamsunder S. Bhoga and Gowardhan S. Khadekar
Published/Copyright: April 29, 2015

Corrigendum to: Namrata Jain, Shyamsunder S. Bhoga, and Gowardhan S. Khadekar. Naturforsch. 69a, 90–96. (DOI:10.5560/ZNA.2013-0079):

1) In the above article, equation (2) has been stated incorrectly. The corrected equation (2) reads:

(2)Tji=(ρ+p)uiuj+pgji (2)

where ui is the five velocity vector, which satisfies the relation uiuj =−1.

Since the line element (1) has the signature (−, +, +, +, +), so the energy-momentum tensor (2) has to be written accordingly.

The calculations from equations (3–17) are assured to be correct.

2) Moreover, the form of equation (18) stated in the article is incorrect. The corrected equation (18) reads:

(18)H(t)=k22acoshϕ(asinhϕ+k3)1 (18)

This requires further changes in the subsequent equations:

(19)q(t)=|RR¨R˙2|=|asinh2ϕ+k3sinhϕaacosh2ϕ| (19)
(20)Λ(t)=[α]k2a2cosh2ϕ+2β(asinhϕ+k3)2(asinhϕ+k3)2 (20)
(21)ρ(t)=[3(n+1)α]k2a2cosh2ϕ+2(3kβ)(asinhϕ+k3)2(asinhϕ+k3)2 (21)
(22)p(t)=[3(n+1)α]k2a2cosh2ϕ+2(3kβ)(asinhϕ+k3)6(asinhϕ+k3)24BC3 (22)

Consequently, equations (27–29) are also modified as given below:

1] For a flat universe, i.e. k=0, equation (27) is further corrected as:

(27)ρ(t)=3(n+1)(n+2)(n+3)k2a2cosh2ϕ+9(n+1)(n+3)(asinhϕ+k3)2(asinhϕ+k3)2 (27)

2] For a closed universe k=1, equation (28) is reformed as:

(28)ρ(t)=3(n+1)(n+2)(n+3)k2a2cosh2ϕ+9(n+2)(n+3)(asinhϕ+k3)2(asinhϕ+k3)2 (28)

3] For an open universe k=−1, equation (29) is now written as:

(29)ρ(t)=3(n+1)(n+2)(n+3)k2a2cosh2ϕ+9n(n+3)(asinhϕ+k3)2(asinhϕ+k3)2 (29)

The discussion and conclusion remain the same as that in the original manuscript. Dividing by a factor of 2 in the root does not cause any changes in the matter under discussion.


Corresponding author: Namrata Jain, Department of Physics, Maharshi Dayanand College, Parel, Mumbai-400012, Maharashtra, India, E-mail:

Published Online: 2015-4-29
Published in Print: 2015-5-1

©2015 by De Gruyter

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