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On the Thermodynamical Black Hole Stability in the Space-Time of a Global Monopole in f(R)-Gravity

Journal of High Energy Physics, Gravitation and Cosmology 2019年第3期5卷 587-611页

作者： Francisco Bento Lustosa maria emilia xavier guimaraes Cristine Nunes Ferreira Joaquim Lopes Neto Jose Abdalla Helayel-Neto Departamento de Fsica Teorica Instituto de FsicaUniversidade do Estado do Rio de JaneiroRio de JaneiroBrazil Instituto de Fsica Universidade Federal FluminenseCampus da Praia VermelhaNiteroiBrazil Nucleo de Estudos em Fsica Instituto Federal de Educacao Ciencia e Tecnologia FluminenseRio de JaneiroBrazil Instituto de Fsica Universidade Federal do Rio de JaneiroRio de JaneiroBrazil Centro Brasileiro de Pesquisas Fsicas Rio de JaneiroBrazil

In this work, we re-assess a class of black hole solutions in a global monopole spacetime in the framework of an f(R)-gravity model. Our main line of investigation consists in considering a region close enough to the black hole, but such that the weak field approximation is still valid. The stability of the black hole is studied in terms of its thermodynamical properties, with the radial coordinate written as a power-law function with the status of the main factor underneath the stability of the model. We obtain the explicit expressions for the thermodynamical quantities of the black hole as functions of the event horizon, by considering both the Hawking and the local temperatures. The phase transitions that may occur in this system, including the Hawking-Page phase transition, are inspected with particular attention. We work out and contemplate a solution of special interest in which one of the parameters is related to the cosmological constant. Our main result sets out to establish a comparison between both the Hawking and the local formalisms for the black hole in the framework of the f(R)-gravity in the particular space-time adopted here.

关键词： Black Hole f(R)-Gravity Hawking Temperature Global Monopole Cosmological Constant

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On an Exact Cylindrically Symmetric Solution in a Born-Infeld Type Theory of Gravity

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Journal of High Energy Physics, Gravitation and Cosmology 2019年第3期5卷 711-718页

作者： Tiago de Oliveira Rosa maria emilia xavier Guimarã es Joaquim Lopes Neto Instituto Federal Goiano Campus Uruta&#237 Rodovia Geraldo Silva Nascimento Uruta&#237 Brazil Instituto de Fí sica Universidade Federal Fluminense Niter&#243 i Brazil Instituto de Fí sica Universidade Federal do Rio de Janeiro Rio de Janeiro Brazil

In this work, we derive an exact vacuum solution for a cylindrically symmetric metric in an extended gravity theory developed by Novello, De Lorenci and Luciane (hereafter referred to as the NDL theory) which is inspired in the Born-Infeld theory. The main goal of this paper is to nd a cosmic string solution for the NDL theory. However, a careful analysis of the metric shows that it is asymptotically singular and therefore does not represent a cosmic string solution.

关键词： Modi ed Theories of Gravity Topological Defects

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On the Jebsen-Birkhoff Theorem in a Born-Infeld Type Theory of Gravity

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Journal of High Energy Physics, Gravitation and Cosmology 2019年第4期5卷 1051-1056页

作者： Tiago de Oliveira Rosa maria emilia xavier Guimarã es Rocco Pascale Neto Joaquim Lopes Neto Instituto Federal Goiano Campus Urutaí Rodovia Geraldo Silva Nascimento Urutaí Brazil Instituto de Física Universidade Federal Fluminense Niterói Brazil Instituto de Física Universidade Federal do Rio de Janeiro Rio de Janeiro Brazil

In this paper we work with a special theory of gravity|the Novello-Di Lorenci-Luciane (hereby called NDL theory) which extends the Feynman-Deser standard theoretical-fi eld approach to General Relativity. In the so-called NDL theory, matter interacts universally with gravity in accordance with the Weak Equivalence Principle, while gravitons have a nonlinear self-interaction. Our main aim in this work is to show that, though the NDL theory does not admit a Schwarzschild solution, the Jebsen-Birkhoff theorem is still valid in this framework.

关键词： Electrostatic Trapping Bootstrap Current Mitigation Peeling-Ballooning Mode

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