Tidal forces in collapsing compact objects

In this work, we investigate tidal forces in the Lemaitre-Tolman-Bondi (LTB) metric, focusing on both hidden and locally visible singularities. We discuss the strength of these singularities in terms of deformationally strong singularities. Specifically, we analyze tidal forces in LTB spacetime, calculating radial and angular tidal forces and Jacobi fields for the radially comoving shell. To provide a comparative study, we consider both homogeneous and inhomogeneous cases. The matter field distribution at one-time slice can differ significantly from another, highlighting the potential for time-dependent tidal deformation as a distinct observational signature. We focus on a specific feature: the time-varying maximum of stretching in the radial tidal force, which we term the ``critical tidal boundary.'' In the inhomogeneous case, close to singularity time ($t<{t}_{s}$), the magnitudes of tidal forces vary substantially, with significant differences in compressive and stretching forces within a small physical radius $R(t,r)$. The resulting singularity in the LTB metrics at the end state of gravitational collapse appears to be an Ori-strong singularity, characterized by infinite tidal deformation.

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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2024-12-27
DOI
https://doi.org/10.1103/physrevd.110.124066
Citations
2
Primary Topic
Fluid Dynamics Simulations and Interactions
Type
article
Field-Weighted Citation Impact
0.75

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article

Tidal forces in collapsing compact objects

Ashok B. Joshi, Pankaj S. Joshi, Dipanjan Dey, Vivekkumar R. Tank
2 citations
Physical review. D/Physical review. D.
Fluid Dynamics Simulations and Interactions
0.75
article

Tidal forces in collapsing compact objects

Ashok B. Joshi, Pankaj S. Joshi, Dipanjan Dey, Vivekkumar R. Tank
article en
2 citations

Abstract

In this work, we investigate tidal forces in the Lemaitre-Tolman-Bondi (LTB) metric, focusing on both hidden and locally visible singularities. We discuss the strength of these singularities in terms of deformationally strong singularities. Specifically, we analyze tidal forces in LTB spacetime, calculating radial and angular tidal forces and Jacobi fields for the radially comoving shell. To provide a comparative study, we consider both homogeneous and inhomogeneous cases. The matter field distribution at one-time slice can differ significantly from another, highlighting the potential for time-dependent tidal deformation as a distinct observational signature. We focus on a specific feature: the time-varying maximum of stretching in the radial tidal force, which we term the ``critical tidal boundary.'' In the inhomogeneous case, close to singularity time ($t<{t}_{s}$), the magnitudes of tidal forces vary substantially, with significant differences in compressive and stretching forces within a small physical radius $R(t,r)$. The resulting singularity in the LTB metrics at the end state of gravitational collapse appears to be an Ori-strong singularity, characterized by infinite tidal deformation.

Physical review. D/Physical review. D.Vol. 110(12)
Dalhousie University (CA), Charotar University of Science and Technology (IN), Institute of Mathematical Sciences (ES), Beijing Institute of Mathematical Sciences and Applications, Ahmedabad University (IN)
Ahmedabad University
Climate action
Openalex Percentile: Top 30%
Fluid Dynamics Simulations and Interactions
0.75
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Tidal forces in collapsing compact objects — Ashok B. Joshi, Pankaj S. Joshi, et al. · Physical review. D/Physical review. D. (2024) | TGRS Research Map | TGRS