Interior metric and ray-tracing map in the firework black-to-white hole transition

Article, Preprint English OPEN
Rovelli, Carlo ; Martin-Dussaud, Pierre (2018)
  • Publisher: HAL CCSD
  • Related identifiers: doi: 10.1088/1361-6382/aacb74
  • Subject: black hole: transition | [ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th] | gravitation | surface | tunneling: quantum | [ PHYS.GRQC ] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] | High Energy Physics - Theory | general relativity | Einstein equation: solution
    arxiv: General Relativity and Quantum Cosmology | Astrophysics::High Energy Astrophysical Phenomena

International audience; The possibility that a black hole could tunnel into a white hole has recently received attention. Here we present a metric that improves the ‘firework’ geometry: it describes this entire process and solves the Einstein equations everywhere except on a small transition surface that corresponds to the quantum tunnelling. We also explicitly compute the corresponding ray-tracing map from past infinity to future infinity.
  • References (10)

    [1] C. Rovelli and F. Vidotto, \Planck stars," Int. J. Mod. Phys. D 23 (2014) 1442026, arXiv:1401.6562.

    [2] H. M. Haggard and C. Rovelli, \Black hole reworks: quantum-gravity e ects outside the horizon spark black to white hole tunneling," Physical Review D92 (2015) 104020, arXiv:1407.0989.

    [3] T. De Lorenzo and A. Perez, \Improved black hole reworks: Asymmetric black-hole-to-white-hole tunneling scenario," Physical Review D 93 (2016) 124018, arXiv:1512.04566.

    [4] M. Christodoulou, C. Rovelli, S. Speziale, and I. Vilensky, \Planck star tunneling time: An astrophysically relevant observable from background-free quantum gravity," Physical Review D 94 (2016) 084035, arXiv:1605.05268.

    [5] M. Christodoulou and F. D'Ambrosio, \Characteristic Time Scales for the Geometry Transition of a Black 4m log Hole to a White Hole from Spinfoams," arXiv:1801.03027.

    [6] F. D'Ambrosio and C. Rovelli, \Crossing Schwarzschild's Central Singularity," arXiv:1803.05015.

    [7] E. Bianchi, M. Christodoulou, F. D'Ambrosio, H. M. Haggard, and C. Rovelli, \White Holes as Remnants: A Surprising Scenario for the End of a Black Hole," arXiv:1802.04264.

    [8] J. L. Synge and Synge, \The Gravitational Field of a Particle," Proc. Irish Acad. A53 (1950) 83{114.

    [9] K. Peeters, C. Schweigert, and J. W. van Holten, \Extended geometry of black holes," Class. Quant. Grav. 12 (1995) 173{180, arXiv:9407006 [gr-qc].

    [10] P. Vaidya, \The Gravitational Field of a Radiating Star," Proc.Indian Acad.Sci. A33 (1951) 261.

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