2021/11/01 by Vivek Sharma, Suman Ghosh
Mathematics · Physics and Astronomy · #Algorithm #Artificial intelligence #Black Holes and Theoretical Physics #Combinatorics #Computer science #Cosmology and Gravitation Theories #Dimension (graph theory) #Embedding #Energy (signal processing) #Geometry #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Theoretical physics #Wormhole #gr-qc
paper · pdf · doi:10.1140/epjc/s10052-021-09789-z
published as Eur. Phys. J. C (2021) 81:1004 · 19+6 preprint pages
openalex publication_date 2021/11/01 · arxiv created 2021/11/14 · arxiv updated 2021/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract Ellis–Bronnikov (EB) wormholes require violation of null energy conditions at the ‘throat’. This problem was cured by a simple modification of the ‘shape function’, which introduces a new parameter m≥ 2 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>m</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> ( m=2 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>m</mml:mi> <mml:mo>=</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> corresponds to the EB model). This leads to a generalised (GEB) version. In this work, we consider a model where the GEB wormhole geometry is embedded in a five dimensional warped background. We studied the status of all the energy conditions in detail for both EB and GEB embedding. We present our results analytically (wherever possible) and graphically. Remarkably, the presence of decaying warp factor leads to satisfaction of weak energy conditions even for the EB geometry, while the status of all the other energy conditions are improved compared to the four dimensional scenario. Besides inventing a new way to avoid the presence of exotic matter, in order to form a wormhole passage, our work reveals yet another advantage of having a warped extra dimension.