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Astronomy and Astrophysics
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Computing the temporal intervals by making a Throne-Morris wormhole from a Kerr black hole in the context of f(R,T) gravity

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DOI: 10.18535/ijsrm/v9i07.aa01· Pages: 72-92· Vol. 9, No. 07, (2021)· Published: July 10, 2021
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Abstract

In the paper we will proceed towards taking the larger root of  and make it equal to zero to remove the event horizon of a Kerr black hole (BH) in Boyer-Lindquist coordinates with a prevalent ring type singularity that can be smoothen by a tunneling approach of a spherinder thereby proceeding safely towards the Cauchy horizon with the deduced intervals computed in detail for the time travel in the Throne-Morris wormhole (WH) approach under  gravity without the presence of any exotic matter at the WH mouth thereby preserving the asymptotically solutions of flaring out conditions and mouth opening during the course of the journey through the Einstein-Rosen bridge. An approach has been organized in the paper in which not only time travel is possible without exotic matter but also time travel is flexible to past and future in the Einstein’s universe by eliminating all sorts of paradoxes by spatial sheath through 2D approach of temporal dimensions.

Keywords

Throne-Morris WormholeKerr Black HoleNaked SingularitygravitySpherinderExotic MatterTime TravelClosed Timelike CurvesSpatial Sheath

References

  1. Rindler, W. (2001). Time from Newton to Einstein to Friedman. KronoScope, 1(1), 63–73. https://doi.org/10.1163/156852401760060928DOI ↗Google Scholar ↗
  2. Trautman, A. (2002). Lectures on General Relativity. General Relativity and Gravitation, 34(5), 721–762. https://doi.org/10.1023/a:1015939926662DOI ↗Google Scholar ↗
  3. Bhattacharjee, D. Path Tracing Photons Oscillating Through Alternate Universes Inside a Black Hole. Preprints 2021, 2021040293, 1–3. https://dx.doi.org/10.20944/preprints202104.0293.v1DOI ↗Google Scholar ↗
  4. Bhattacharjee, D. Deciphering Black Hole Spin, Inclination angle & Charge From Kerr Shad-ow. Preprints 2021, 2021040315, 1–3. https://dx.doi.org/10.20944/preprints202104.0315.v1DOI ↗Google Scholar ↗
  5. Bhattacharjee, D. (2020d). Solutions of Kerr Black Holes subject to Naked Singularity and Worm-holes. Authorea, 1–4. https://doi.org/10.22541/au.160693414.46356832/v1DOI ↗Google Scholar ↗
  6. Wells, H. G. (2021). The Time Machine (Royal Collector’s Edition) (Case Laminate Hardcover with Jacket). Royal Classics.Google Scholar ↗
  7. Sagan, C. (2019). Contact: A Novel (Reprint ed.). Gallery Books.Google Scholar ↗
  8. Nolan, C. (Director). Interstellar [Flim], Paramount Pictures, Warner Bros. Pictures, Legendary Pic-tures, Syncopy, Lynda Obst Productions.Google Scholar ↗
  9. Vasiliev, V. V., & Fedorov, L. V. (2018). To the Schwarzschild Solution in General Relativity. Journal of Modern Physics, 09(14), 2482–2494. https://doi.org/10.4236/jmp.2018.914160DOI ↗Google Scholar ↗
  10. Katanaev, M. O. (2014). Passing the Einstein–Rosen bridge. Modern Physics Letters A, 29(17), 1450090. https://doi.org/10.1142/s0217732314500904DOI ↗Google Scholar ↗
  11. Torii, T., & Shinkai, H. A. (2013). Wormholes in higher dimensional space-time: Exact solutions and their linear stability analysis. Physical Review D, 88(6). https://doi.org/10.1103/physrevd.88.064027DOI ↗Google Scholar ↗
  12. Hawking, S. W., Ellis, G. F. R., Landshoff, P. V., Nelson, D. R., Sciama, D. W., & Weinberg, S. (1975). The Large Scale Structure of Space-Time (Cambridge Monographs on Mathematical Physics) (New Ed). Cambridge University Press.Google Scholar ↗
  13. Morris, M. S., & Thorne, K. S. (1988). Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity. American Journal of Physics, 56(5), 395–412. https://doi.org/10.1119/1.15620DOI ↗Google Scholar ↗
  14. Mars, M. (1999). A spacetime characterization of the Kerr metric. Classical and Quantum Gravity, 16(7), 2507–2523. https://doi.org/10.1088/0264-9381/16/7/323DOI ↗Google Scholar ↗
  15. Bhattacharjee, D. Positive Energy Driven CTCs In ADM 3+1 Space – Time of Unprotected Chro-nology. Preprints 2021, 2021040277, 1–7. https://dx.doi.org/10.20944/preprints202104.0277.v1DOI ↗Google Scholar ↗
  16. James, O., von Tunzelmann, E., Franklin, P., & Thorne, K. S. (2015). Visualizing Interstellar’s Wormhole. American Journal of Physics, 83(6), 486–499. https://doi.org/10.1119/1.4916949DOI ↗Google Scholar ↗
  17. Hawking, S. W. (1992). Chronology protection conjecture. Physical Review D, 46(2), 603–611. https://doi.org/10.1103/physrevd.46.603DOI ↗Google Scholar ↗
  18. Luminet, J. P. (2018). Closed Timelike Curves and Singularities. Inference: International Review of Science, 4(1). https://doi.org/10.37282/991819.18.32DOI ↗Google Scholar ↗
  19. Throne, K. S. (1993). Closed Timelike Curves. A Caltech Goldenrod Preprint in Theoretical Physics or Gravitational Physics.Google Scholar ↗
  20. Chanda, A. Dey, S. Paul, B. C. (2021). Morris-Thorne Wormholes in f(R,T) modified theory of grav-ity arXiv:2102.01556v1 [gr-qc]Google Scholar ↗
  21. Stewart, I. (2010). Grandfather paradox. Nature, 464(7293), 1398. https://doi.org/10.1038/4641398aDOI ↗Google Scholar ↗
  22. Davis, M. (2020, December 23). 7. Polchinski’s paradox. Big Think. https://bigthink.com/surprising-science/10-bizarre-paradoxes?rebelltitem=8Google Scholar ↗
  23. Christoforou, P. (2019, December 1). Time Travel & the Bootstrap Paradox Explained. https://www.astronomytrek.com/the-bootstrap-paradox-explained/Google Scholar ↗
  24. Perry, P. (2018, October 5). There are 2 dimensions of time, theoretical physicist states. Big Think. https://bigthink.com/philip-perry/there-are-in-fact-2-dimensions-of-time-one-theoretical-physicist-statesGoogle Scholar ↗
  25. Ewbank, A. (2018, December 24). When Stephen Hawking Threw a Cocktail Party for Time Travel-ers. Atlas Obscura. https://www.atlasobscura.com/articles/stephen-hawking-time-travelers-partyGoogle Scholar ↗
  26. Spherinder. (2021, May 30). In Wikipedia. https://en.wikipedia.org/wiki/SpherinderGoogle Scholar ↗
  27. Landau, L. D. (2021). The Classical Theory of Fields (Course of Theoretical Physics) by L. D. Lan-dau (1-Jan-1980) Paperback. Butterworth-Heinemann; Revised edition (1 Jan. 1980).Google Scholar ↗
  28. Rezzolla, L., & Zanotti, O. (2018). Relativistic Hydrodynamics (Reprint ed.). Oxford University Press.Google Scholar ↗
  29. Visser, M (2007). "The Kerr spacetime: A brief introduction". p. 15, Eq. 60-61, p. 24, p. 35. arXiv:0706.0622v3[gr-qc].Google Scholar ↗
  30. Boyer, R. H., & Lindquist, R. W. (1967). Maximal Analytic Extension of the Kerr Metric. Journal of Mathematical Physics, 8(2), 265–281. https://doi.org/10.1063/1.1705193DOI ↗Google Scholar ↗
  31. Carter, B. (1968). Global Structure of the Kerr Family of Gravitational Fields. Physical Review, 174(5), 1559–1571. https://doi.org/10.1103/physrev.174.1559DOI ↗Google Scholar ↗
  32. Bardeen, J. M., Press, W. H., & Teukolsky, S. A. (1972). Rotating Black Holes: Locally Nonrotating Frames, Energy Extraction, and Scalar Synchrotron Radiation. The Astrophysical Journal, 178, 347. https://doi.org/10.1086/151796DOI ↗Google Scholar ↗
  33. Godani, N., & Samanta, G. C. (2019). Static traversable wormholes in f(R,T)=R+2αlnT gravity. Chi-nese Journal of Physics, 62, 161–171. https://doi.org/10.1016/j.cjph.2019.09.009DOI ↗Google Scholar ↗
  34. Kerr metric. (2021, April 30). In Wikipedia. https://en.wikipedia.org/wiki/Kerr_metricGoogle Scholar ↗
  35. Sahoo, P. K., Moraes, P. H. R. S., & Sahoo, P. (2018). Wormholes in $$R^2$$ R 2 -gravity within the f(R, T) formalism. The European Physical Journal C, 78(1). https://doi.org/10.1140/epjc/s10052-018-5538-1DOI ↗Google Scholar ↗
  36. McMahon, D. (2008). String Theory Demystified (1st ed.). McGraw-Hill Education.Google Scholar ↗
  37. Bhattacharjee, D., Harikant, A., & Singha Roy, S. (2019b). Improvising the Hierarchy Problem with respect to F-Theory. ResearchGate, 1–3. https://doi.org/10.13140/RG.2.2.35954.53444DOI ↗Google Scholar ↗
  38. NineDimensionalBeing. (2015, March 3). Exploring the 4D Spherinder. Imgur. https://imgur.com/gallery/ORY5G/comment/374041029/1Google Scholar ↗
  39. Newman–Penrose formalism. (2021, January 4). In Wikipedia. https://en.wikipedia.org/wiki/Newman%E2%80%93Penrose_formalismGoogle Scholar ↗
  40. Newman, E., & Penrose, R. (1962). An Approach to Gravitational Radiation by a Method of Spin Coefficients. Journal of Mathematical Physics, 3(3), 566–578. https://doi.org/10.1063/1.1724257DOI ↗Google Scholar ↗
  41. Newman, E., & Penrose, R. (1962b). An Approach to Gravitational Radiation by a Method of Spin Coefficients. Journal of Mathematical Physics, 3(3), 566–578. https://doi.org/10.1063/1.1724257DOI ↗Google Scholar ↗
  42. Chandrasekhar, L. T. S. (1998). The Mathematical Theory of Black Holes (Oxford Classic Texts in the Physical Sciences). Clarendon Press.Google Scholar ↗
  43. Griffiths, J. B. (2012). Exact Space-Times in Einstein’s General Relativity (Cambridge Monographs on Mathematical Physics) (1st ed.). Cambridge University Press.Google Scholar ↗
  44. Frolov, & Novikov. (1998). Black Hole Physics: Basic Concepts and New Developments (Funda-mental Theories of Physics, 96) (1998th ed.). Springer.Google Scholar ↗
  45. Ashtekar, A., Fairhurst, S., & Krishnan, B. (2000). Isolated horizons: Hamiltonian evolution and the first law. Physical Review D, 62(10). https://doi.org/10.1103/physrevd.62.104025DOI ↗Google Scholar ↗
  46. O'Donnell, P. (2003) Introduction to 2-Spinors in General Relativity. Singapore: World Scientific.Google Scholar ↗
  47. Hawking, S. W. (2001). The Universe in a Nutshell (1st ed.). Bantam.Google Scholar ↗
  48. Bhattacharjee, D. The Gateway to Parallel Universe & Connected Physics. Preprints 2021, 2021040350, 1–20, https://dx.doi.org/10.20944/preprints202104.0350.v1DOI ↗Google Scholar ↗
Author details
Aruna Harikant
Department of Physics, Indian Institute of Technology, Mandi, Kamand, Himachal Pradesh, India
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Sanjeevan Singha Roy
Department of Physics, Birla Institute of Technology, Mesra, Jharkhand, India
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Deep Bhattacharjee
Departmental incharge in AATWRI-R&D Directorate of EGSPL
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