Draft:Mass inflation
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In general relativity, mass inflation is a phenomenon inside spinning or charged black holes in which the interactions of outgoing and ingoing radiation at the Cauchy horizon cause the internal gravitational mass parameter of the black hole to become unbounded at the Cauchy horizon.[1] It also predicts the existence of a weak null singularity at the Cauchy horizon of a spinning or charged black hole.
Divergence of the gravitational mass parameter
[edit]Mass-inflation singularity
[edit]The divergence of the gravitational mass parameter has interesting local consequences for an extended infalling object: since the mass parameter determines the Coulomb component of the local curvature inside a black hole, an increase in the parameter would lead to increased tidal forces felt locally by the object.[1]
Further implications
[edit]Non-determinism beyond the Cauchy horizon
[edit]After Roger Penrose pointed out in the 1960s that the Cauchy horizon of a black hole is a region of infinite blueshift[2] and a barrier in which causality breaks down[3], the inherent non-predictability of spacetime beyond the horizon puzzled scientists for decades.[3] This was especially problematic as it violated the classical view of determinism. It became the basis of Roger Penrose's 1979 strong cosmic censorship conjecture, in which he argued that the Cauchy horizon could not exist because any perturbations by passing gravitational waves would cause the horizon to collapse into a strong, spacelike singularity. However, the conjecture was proven false in 2018 by mathematicians Mihalis Dafermos and Jonathan Luk, who mathematically confirmed the existence of the singularity in Kerr spacetime. Despite this, the mathematicians discovered that the existence of a weak null singularity at the Cauchy horizon would prevent the existence of multiple solutions of Einstein's equations beyond the Cauchy horizon, thus saving determinism.[3][4][5]They instead theorized that spacetime beyond the Cauchy horizon is not smooth enough to use Einstein's equations at all.[4][5]
Wormholes
[edit]References
[edit]- ^ a b c Poisson, Eric; Israel, Werner (1990). "Internal structure of black holes". Physical Review D. 41 (6): 1796–1809. Bibcode:1990PhRvD..41.1796P. doi:10.1103/PhysRevD.41.1796. PMID 10012548.
- ^ a b Hamilton, Andrew J.S.; Avelino, Pedro P. (2010). "The physics of the relativistic counter-streaming instability that drives mass inflation inside black holes". Physics Reports. 495 (1): 1–32. arXiv:0811.1926. Bibcode:2010PhR...495....1H. doi:10.1016/j.physrep.2010.06.002.
- ^ a b c d Poisson, E.; Israel, W. (1989). "Inner-horizon instability and mass inflation in black holes". Physical Review Letters. 63 (16): 1663–1666. Bibcode:1989PhRvL..63.1663P. doi:10.1103/PhysRevLett.63.1663. PMID 10040638.
- ^ a b c Dafermos, Mihalis; Luk, Jonathan (2017). "The interior of dynamical vacuum black holes I: The <C>0-stability of the Kerr Cauchy horizon". arXiv:1710.01722 [gr-qc].
- ^ a b c Hartnett, Kevin (17 May 2018). "Mathematicians disprove conjecture made to save black holes". Quanta Magazine. Retrieved 14 May 2025.
- ^ Ori, Amos (1991). "Inner structure of a charged black hole: An exact mass-inflation solution". Physical Review Letters. 67 (7): 789–792. Bibcode:1991PhRvL..67..789O. doi:10.1103/PhysRevLett.67.789. PMID 10044989.
- ^ Herman, Rhett; Hiscock, William A. (1992). "Strength of the mass inflation singularity". Physical Review D. 46 (4): 1863–1865. Bibcode:1992PhRvD..46.1863H. doi:10.1103/PhysRevD.46.1863. PMID 10015098.
- ^ Balbinot, Roberto; Poisson, Eric (1993). "Mass inflation: The semiclassical regime". Physical Review Letters. 70 (1): 13–16. Bibcode:1993PhRvL..70...13B. doi:10.1103/PhysRevLett.70.13. PMID 10053246.
- ^ Breitenlohner, Peter; Lavrelashvili, George; Maison, Dieter (1998). "Mass inflation and chaotic behaviour inside hairy black holes". Nuclear Physics B. 524 (1–2): 427–443. arXiv:gr-qc/9703047. Bibcode:1998NuPhB.524..427B. doi:10.1016/S0550-3213(98)00177-1.
- ^ Burko, Lior M. (1997). "Structure of the Black Hole's Cauchy-Horizon Singularity". Physical Review Letters. 79 (25): 4958–4961. arXiv:gr-qc/9710112. Bibcode:1997PhRvL..79.4958B. doi:10.1103/PhysRevLett.79.4958.
- ^ Hod, Shahar; Piran, Tsvi (1998). "Mass Inflation in Dynamical Gravitational Collapse of a Charged Scalar Field". Physical Review Letters. 81 (8): 1554–1557. arXiv:gr-qc/9803004. Bibcode:1998PhRvL..81.1554H. doi:10.1103/PhysRevLett.81.1554.
- ^ Hwang, Dong-il; Lee, Bum-Hoon; Yeom, Dong-han (2011). "Mass inflation in f ( R ) gravity — A conjecture on the resolution of the mass inflation singularity". Journal of Cosmology and Astroparticle Physics (12): 006. arXiv:1110.0928. Bibcode:2011JCAP...12..006H. doi:10.1088/1475-7516/2011/12/006.
- ^ Burko, Lior M.; Khanna, Gaurav; Zenginoǧlu, Anıl (2016). "Cauchy-horizon singularity inside perturbed Kerr black holes". Physical Review D. 93 (4): 041501. arXiv:1601.05120. Bibcode:2016PhRvD..93d1501B. doi:10.1103/PhysRevD.93.041501.
- ^ Carballo-Rubio, Raúl; Di Filippo, Francesco; Liberati, Stefano; Visser, Matt (2024). "Mass Inflation without Cauchy Horizons". Physical Review Letters. 133 (18): 181402. arXiv:2402.14913. Bibcode:2024PhRvL.133r1402C. doi:10.1103/PhysRevLett.133.181402. PMID 39547177.