Nature of Higher-Dimensional Wormhole Mass Due to Accretion of Entropy Corrected Holographic and New Agegraphic Dark Ene
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Nature of Higher-Dimensional Wormhole Mass Due to Accretion of Entropy Corrected Holographic and New Agegraphic Dark Energies Ujjal Debnath1* and Soumyadipta Basak1** 1
Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711 103, India Received November 1, 2019; revised February 24, 2020; accepted March 15, 2020
Abstract—We study the accretion of dark matter and dark energy onto (n + 2)-dimensional Morris– Thorne wormholes. The wormhole mass and its rate of change have been written in the background of the (n + 2)-dimensional Friedmann-Robertson-Walker (FRW) model of the Universe. We have assumed the candidates of dark energy in the form of entropy-corrected holographic dark energy (ECHDE) and entropycorrected new agegraphic dark energy (ECNADE) with its logarithmic and power-law versions. For these different dark energy models, the wormhole mass has been calculated in terms of the redshift when dark matter and the above types of dark energies accrete onto the wormhole. For this purpose, we have taken two classes of scale factors, where in class I the scale factor describes a future singularity while class II follows from an initial singularity. We graphically present the nature of the wormhole mass in different dimensions (4D, 5D, 6D) for ECHDE and ECNADE accretion. In the class I scale factor, we observe that the wormhole mass increases during the evolution of the Universe in both ECHDE and ECNADE models in both the power-law and logarithmic versions. Also, with the class II scale factor, we see that the wormhole mass decreases during the evolution of the Universe for ECHDE in both power-law and logarithmic versions, and for ECNADE with power law models, while the wormhole mass increases during the evolution of the Universe for ECNADE in its logarithmic version. DOI: 10.1134/S0202289320030056
1. INTRODUCTION During the last few decades, several observations like type Ia Supernovae, Cosmic Microwave Background (CMB) radiation, large-scale structure (LSS), Sloan Digital Sky Survey (SDSS), Wilkinson Microwave Anisotropy Probe (WMAP), Planck observations, Chandra X-ray observations [1–8] strongly suggest that our Universe is accelerating instead of slowing down. This is caused by some unknown exotic fluid which generates sufficient negative pressure. This is known as dark energy (DE), whose nature is still unknown. The observations also suggest that ∼30% of the Universe are filled with dark matter and 70% are filled with the dark energy. The most appealing and simplest candidate for DE is the cosmological constant Λ which is characterized by the equation of state p = wρ with w = −1. Another simple candidate for dark energy is quintessence which satisfies −1 < w < −1/3 [9, 10]. But if w < −1, the dark energy is known as phantom energy [11] which generates negative kinetic energy. Also several models play the roles of dark energy such * **
E-mail: [email protected] E-mail: [email protected]
as quintom [12, 13], tachyon [14], k-essence [15], dilaton [16], hessence [
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