Thermodynamics and geometry of black holes in the presence of nonlinear electromagnetic fields

doktorski rad

• Naslov (hrvatski): Termodinamika i geometrija crnih rupa u prisutnosti nelinearnih elektromagnetskih polja
• Autor: Ana Bokulić
• Mentor: Ivica Smolić (mentor)
• Član povjerenstva: Tajron Jurić (predsjednik povjerenstva)
• Član povjerenstva: Petar Žugec (član povjerenstva)
• Član povjerenstva: Ivica Smolić (član povjerenstva)
• Ustanova koja je dodijelila akademski / stručni stupanj: Sveučilište u Zagrebu; Prirodoslovno-matematički fakultet; (Fizički odsjek); Zagreb
• Datum i država obrane: 2024-03-05, Hrvatska
• Znanstveno / umjetničko područje, polje i grana: PRIRODNE ZNANOSTI; Fizika
• Univerzalna decimalna klasifikacija (UDC): 53 - Fizika

Sažetak

Nonlinear electrodynamics (NLE) is an umbrella term for nonlinear modifications of Maxwell’s theory. The first NLE theories appeared as quantum corrections to Maxwell’s electrodynamics or in order to cure point charge singularities. Our focus is on NLE fields in the context of gravitational theory, their impact on the laws of black hole thermodynamics and the general geometric properties of spacetimes. Using a perturbative approach, we show that the solution for the Schwarzschild black hole placed in an asymptotically homogeneous test magnetic field in the Born–Infeld and Euler–Heisenberg theories receives NLE corrections. We prove that the wellknown results from Maxwell’s theory, such as no-soliton theorems and the absence of null electromagnetic fields in static spacetimes, still hold in the NLE case but may be circumvented by stealth field configurations. In the form of several no-go theorems, we summarise the general obstructions that limit the possibility of black hole regularisation using NLE fields. Our results suggest that physically plausible NLE theories do not give rise to singularity-free solutions. Furthermore, we formulate the sufficient conditions that imply the isometry-compatible block-diagonal form of the metric for theories consisting of solely NLE fields and NLE fields combined with scalar fields. Finally, we revisit the laws of black hole thermodynamics with NLE fields and derive the first law by means of the covariant phase space approach. With a special emphasis on the treatment of NLE Lagrangian parameters, we resolve the tension between the generalised Smarr formula and the first law of black hole thermodynamics in a general case.

Sažetak (hrvatski)

Rad ne sadrži sažetak na drugom jeziku.

• Ključne riječi: nonlinear electromagnetic fields; black hole electrodynamics; black hole thermodynamics; spacetime singularities; regular black holes
• Ključne riječi (engleski): Rad ne sadrži ključne riječi na drugom jeziku.
• Jezik: engleski
• URN:NBN: urn:nbn:hr:217:069045
• Datum promocije: 2024
• Studijski program: Naziv: Fizika; Vrsta studija: sveučilišni; Stupanj studija: doktorski studij; Akademski / stručni naziv: doktor/doktorica znanosti u području prirodnih znanosti (dr. sc. natur.)
• Vrsta resursa: Tekst
• Opseg: 152 str.
• Način izrade datoteke: Izvorno digitalna
• Prava pristupa: Otvoreni pristup
• Datum i vrijeme pohrane: 2024-05-23 12:41:37