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Published in 2024 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ad5f24
Abstract: The most general set of static and spherically symmetric solutions for conformal Killing gravity coupled to Maxwell fields is presented in closed form. These solutions, depending on six parameters, include non-asymptotically flat black holes or…
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Keywords:
killing gravity;
gravity;
symmetric solutions;
solutions conformal ... See more keywords
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Published in 2024 at "Nonlinearity"
DOI: 10.1088/1361-6544/ad9daa
Abstract: In this paper we investigate the existence of singular solutions to the conformal Dirac–Einstein system. Because of its conformal invariance, there are many similarities with the classical construction of singular solutions for the Yamabe problem.…
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Keywords:
conformal dirac;
singular solutions;
problem;
dirac einstein ... See more keywords
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Published in 2019 at "Annales Academiae Scientiarum Fennicae Mathematica"
DOI: 10.5186/aasfm.2019.4441
Abstract: We show that there exist planar Jordan domains $\Omega_1$ and $\Omega_2$ with boundaries of Hausdorff dimension $1$ such that any conformal maps $\varphi_1 \colon \mathbb D \to \Omega_1$ and $\varphi_2 \colon \Omega_2 \to \mathbb D…
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Keywords:
conformal boundary;
boundary values;
schoenflies solutions;
solutions conformal ... See more keywords