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Multiverse in Karch-Randall Braneworld

Yadav, Gopal·2023·Journal of High Energy Physics
DOI 10.1007/jhep03(2023)103
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Abstract

In this paper, we propose a model based on wedge holography that can describe the multiverse. In wedge holography, we consider two gravitating baths, one of which has strong gravity and the other one has weak gravity. To describe a multiverse, we consider 2 n Karch-Randall branes, and we propose that various d-dimensional universes are localized on these branes. These branes are embedded in (d + 1)-dimensional spacetime. The model is useful in obtaining the Page curve of black holes with multiple horizons and in the resolution of the “grandfather paradox”. We explicitly obtain the Page curves of eternal AdS black holes for n = 2 multiverse and Schwarzschild de-Sitter black hole with two horizons.

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Figures

Figure 1 Description of wedge holography. Two d -dimensional Karch-Randall branes joined at the ( d -1) dimensional defect, Karch-Randall branes are embedded in ( d +1) -dimensional bulk.
Figure 1 Description of wedge holography. Two d -dimensional Karch-Randall branes joined at the ( d -1) dimensional defect, Karch-Randall branes are embedded in ( d +1) -dimensional bulk.CC-BY · From the PDF
Figure 2 2 n Karch-Randall branes, Q -n, -n +1 ,..., 1 , 2 ,...,n -1 ,n embedded in AdS d +1 . P is the defect. Multiverse is described by 2 n Karch-Randall branes which are d -dimensional objects and defect is ( d -1) -dimensional object.
Figure 2 2 n Karch-Randall branes, Q -n, -n +1 ,..., 1 , 2 ,...,n -1 ,n embedded in AdS d +1 . P is the defect. Multiverse is described by 2 n Karch-Randall branes which are d -dimensional objects and defect is ( d -1) -dimensional object.CC-BY · From the PDF
Figure 3 Cartoon picture of the multiverse for n = 3 in AdS spacetimes. P is the ( d -1) -dimensional defect and Karch-Randall branes are denoted by Q -1 / 1 , -2 / 2 , -3 / 3 .
Figure 3 Cartoon picture of the multiverse for n = 3 in AdS spacetimes. P is the ( d -1) -dimensional defect and Karch-Randall branes are denoted by Q -1 / 1 , -2 / 2 , -3 / 3 .CC-BY · From the PDF
Figure 4 Cartoon picture of the multiverse for n = 3 with de-Sitter metric on Karch-Randall branes. P is the ( d -1) -dimensional defect and Karch-Randall branes are denoted by Q -1 / 1 , -2 / 2 , -3 / 3 .
Figure 4 Cartoon picture of the multiverse for n = 3 with de-Sitter metric on Karch-Randall branes. P is the ( d -1) -dimensional defect and Karch-Randall branes are denoted by Q -1 / 1 , -2 / 2 , -3 / 3 .CC-BY · From the PDF
Figure 5 Braneworld consists of d -dimensional anti de-Sitter and de-Sitter spacetimes. AdS spacetimes are embedded in the bulk (3) where as de-Sitter spacetimes are embedded in the bulk spacetime with metric (15). We have used n 1 = n 2 = 3 to draw this figure.
Figure 5 Braneworld consists of d -dimensional anti de-Sitter and de-Sitter spacetimes. AdS spacetimes are embedded in the bulk (3) where as de-Sitter spacetimes are embedded in the bulk spacetime with metric (15). We have used n 1 = n 2 = 3 to draw this figure.CC-BY · From the PDF
Image 6
CC-BY · From the PDF
Figure 7 Page curve of eternal AdS black holes for n = 2 multiverse.
Figure 7 Page curve of eternal AdS black holes for n = 2 multiverse.CC-BY · From the PDF
Figure 8 Realization of Schwarzschild de-Sitter black hole in wedge holography. I s and I c are black hole and cosmological island surfaces (black hole and de-Sitter horizons in our case). Red ( HM s ) and green ( HM c ) lines are Hartman-Maldacena surfaces for Schwarzschild and de-Sitter patches. Q s and Q 1 branes consist of Schwarzschild and de-Sitter patches. Q -s and Q -1 are baths to collect Hawking and Gibbons-Hawking radiation emitted by black hole and cosmological horizons.
Figure 8 Realization of Schwarzschild de-Sitter black hole in wedge holography. I s and I c are black hole and cosmological island surfaces (black hole and de-Sitter horizons in our case). Red ( HM s ) and green ( HM c ) lines are Hartman-Maldacena surfaces for Schwarzschild and de-Sitter patches. Q s and Q 1 branes consist of Schwarzschild and de-Sitter patches. Q -s and Q -1 are baths to collect Hawking and Gibbons-Hawking radiation emitted by black hole and cosmological horizons.CC-BY · From the PDF
Figure 9 Page curve of Schwarzschild patch.
Figure 9 Page curve of Schwarzschild patch.CC-BY · From the PDF
Figure 10 Different universes Q -1 , -2 , -3 , 1 , 2 , 3 where different people are living.
Figure 10 Different universes Q -1 , -2 , -3 , 1 , 2 , 3 where different people are living.CC-BY · From the PDF

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Metadata

Authors
Yadav, G.
ORCID
Yadav, Gopal
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2023-03-15
Volume
2023
Issue
3
ISSN
1029-8479
DOI
10.1007/jhep03(2023)103
Cited by
15
References
3
Language
en
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Yadav, G. (2023). Multiverse in Karch-Randall Braneworld. Journal of High Energy Physics. https://doi.org/10.1007/jhep03(2023)103