Rossi, Dario
(2019)
ReissnerNordström black holes and mass inflation.
[Laurea], Università di Bologna, Corso di Studio in
Fisica [LDM270]
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Abstract
The existence and structure of black holes are derived from Einstein’s general theory of
relativity. Mass inflation (an increase in mass) is found when the internal structure of
black holes is studied. The objective of the present study is twofold: (i) to obtain an
understanding of the nature of ReissnerNordström black holes and (ii) examine the mass
inflation phenomenon. To do so, spherical symmetric solutions to Einstein’s field equations are analyzed.The Schwarzschild solution is analyzed to show the most basic result
of general relativity. The analytical (Kruskal) continuation of the Schwarzschild solution
and the mechanism of gravitational collapse are also discussed. The ReissnerNordström
metric is then examined in detail analyzing both the general characteristics and the most
generic field equations for a body with spherical symmetry. Moreover two important applications are considered: the Vaidya solutions and the Dray’t HooftRedmount (DTR)
relation. The mass inflation phenomenon is then formulated by formally integrating
Einstein’s field equations considering continuous infalling and outgoing radial fluxes of
gravitational radiation. To evaluate the growth rate of the gravitational mass, a formal
perturbation expansion in terms of the product of the flux luminosities is developed.
Finally, the possibility that the asymmetries occurring during a realistic collapse could
change the conclusions obtained for spherical symmetry is considered. The most striking
features of the physics behind black holes and the mass inflation phenomenon are shown.
Abstract
The existence and structure of black holes are derived from Einstein’s general theory of
relativity. Mass inflation (an increase in mass) is found when the internal structure of
black holes is studied. The objective of the present study is twofold: (i) to obtain an
understanding of the nature of ReissnerNordström black holes and (ii) examine the mass
inflation phenomenon. To do so, spherical symmetric solutions to Einstein’s field equations are analyzed.The Schwarzschild solution is analyzed to show the most basic result
of general relativity. The analytical (Kruskal) continuation of the Schwarzschild solution
and the mechanism of gravitational collapse are also discussed. The ReissnerNordström
metric is then examined in detail analyzing both the general characteristics and the most
generic field equations for a body with spherical symmetry. Moreover two important applications are considered: the Vaidya solutions and the Dray’t HooftRedmount (DTR)
relation. The mass inflation phenomenon is then formulated by formally integrating
Einstein’s field equations considering continuous infalling and outgoing radial fluxes of
gravitational radiation. To evaluate the growth rate of the gravitational mass, a formal
perturbation expansion in terms of the product of the flux luminosities is developed.
Finally, the possibility that the asymmetries occurring during a realistic collapse could
change the conclusions obtained for spherical symmetry is considered. The most striking
features of the physics behind black holes and the mass inflation phenomenon are shown.
Tipologia del documento
Tesi di laurea
(Laurea)
Autore della tesi
Rossi, Dario
Relatore della tesi
Scuola
Corso di studio
Ordinamento Cds
DM270
Parole chiave
ReissnerNordström,black hole,DTR relation,Vaidya,General Relativity,Mass Inflation
Data di discussione della Tesi
12 Luglio 2019
URI
Altri metadati
Tipologia del documento
Tesi di laurea
(NON SPECIFICATO)
Autore della tesi
Rossi, Dario
Relatore della tesi
Scuola
Corso di studio
Ordinamento Cds
DM270
Parole chiave
ReissnerNordström,black hole,DTR relation,Vaidya,General Relativity,Mass Inflation
Data di discussione della Tesi
12 Luglio 2019
URI
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