Journal
PHYSICAL REVIEW D
Volume 104, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.104.044026
Keywords
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Funding
- FONDECYT [1200022, 1210500, 1181047]
- FAPESP/ANID [2019/13231-7]
- National Agency for Research and Development (ANID)/Scholarship Program [BECA DE DOCTORADONACIONAL/2017-21171394]
- Beca Doctorado USM
- Chilean Government through the Centers of Excellence Base Financing Program of ANID
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In this work, it was demonstrated that Einstein gravity in four dimensions can be consistently obtained through the compactification of a higher curvature Lovelock theory in dimension D = 4 + p (p >= 1). The compactification is performed without the need for fine tuning between coupling constants. This process involves dressing the internal manifold with suitable forms and constructing various black string/p-branes solutions.
In this work we show that Einstein gravity in four dimensions can be consistently obtained from the compactification of a generic higher curvature Lovelock theory in dimension D = 4 + p, (p >= 1). The compactification is performed on a direct product space M-D = M-4 x K-p, where K-p is a Euclidean internal manifold of constant curvature. The process is carried out in such a way that no fine tuning between the coupling constants is needed. The compactification requires us to dress the internal manifold with the flux of suitable p-forms whose field strengths are proportional to the volume form of the internal space. We explicitly compactify Einstein-Gauss-Bonnet theory from dimension six to Einstein theory in dimension four and sketch out a similar procedure for this compactification to take place starting from dimension five. Several black string/p-branes solutions are constructed, among which, a five dimensional asymptotically flat black string composed of a Schwarzschild black hole on the brane is particularly interesting. Finally, the thermodynamic of the solutions is described and we find that the consistent compactification modifies the entropy by including a constant term, which may induce a departure from the usual behavior of the Hawking-Page phase transition. New scenarios are possible in which large black holes dominate the canonical ensemble for all temperatures above the minimal value.
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