Closed timelike curves and energy conditions in regular spacetimes

Sashideep Gutti; Shailesh Kulkarni; Vaishak Prasad

doi:10.1140/epjc/s10052-022-11114-1

2022 Impact factor 4.4

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 1136
https://doi.org/10.1140/epjc/s10052-022-11114-1

Regular Article - Theoretical Physics

Closed timelike curves and energy conditions in regular spacetimes

Sashideep Gutti¹, Shailesh Kulkarni²^b and Vaishak Prasad³^,4

¹ Birla Institute of Technology and Science, Pilani, Hyderabad Campus, 500 078, Hyderabad, India
² Department of Physics, Savitribai Phule Pune University, Ganeshkhind, 411007, Pune, India
³ Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Ganeshkhind, 411 007, Pune, India
⁴ International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, 560089, Bengaluru, India

^b shailesh@physics.unipune.ac.in

Received: 17 October 2022
Accepted: 5 December 2022
Published online: 15 December 2022

Abstract

In this article, we explore the relationship between the existence of closed timelike curves and energy conditions that occur in the Kerr–Newman spacetime. To quantify the dependence, we define a correlation index between energy conditions and closed timelike curves. We investigate the validity of Hawking’s chronology protection conjecture for the closed time like curves that occur in the noncommutative version of the Kerr–Newman spacetime that has the right ingredients to examine the conjecture . We report the results outlining the possible role played by violations of energy conditions in eliminating the closed timelike curves.

© The Author(s) 2022

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