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- Lovelock_theory_of_gravity abstract "In physics, Lovelock's theory of gravity (often referred to as Lovelock gravity) is a generalization of Einstein's theory of general relativity introduced by David Lovelock in 1971. It is the most general metric theory of gravity yielding conserved second order equations of motion in arbitrary number of spacetime dimensions . In this sense, Lovelock's theory is the natural generalization of Einstein's General Relativity to higher dimensions. In dimension three and four , Lovelock's theory coincides with Einstein's theory, but in higher dimension both theories are different. In fact, for Einstein gravity can be thought of as a particular case of Lovelock gravity since the Einstein–Hilbert action is one of several terms that constitute the Lovelock action.The Lagrangian of the theory is given by a sum of dimensionally extendedEuler densities, and it can be written as followswhere represents the Riemann tensor, and where the generalized Kronecker -function is defined as theantisymmetric product Each term in corresponds to the dimensionalextension of the Euler density in dimensions, so that these onlycontribute to the equations of motion for . Consequently, withoutlack of generality, in the equation above can be taken to be foreven dimensions and for odd dimensions.The coupling constants in Lagrangian havedimensions of [length], although it is usual to normalize theLagrangian density in units of the Planck scale . Expanding the product in , the Lovelock'sLagrangian takes the formwhere one sees that coupling corresponds to the cosmological constant , while with are couplingconstants of additional terms that represent ultraviolet corrections toEinstein theory, involving higher order contractions of the Riemann tensor. In particular, the second order termis precisely the quadratic Gauss–Bonnet term,which is the dimensionally extended version of the four-dimensional Eulerdensity.Due to the fact that Lovelock action contains, among others, the quadratic Gauss–Bonnetterm (i.e. the four-dimensional Euler characteristic extended to dimensions), it is usually said that Lovelock theory resembles string theoryinspired models of gravity. This is because such quadratic term is present in thelow energy effective action of heterotic string theory, and it also appearsin six-dimensional Calabi–Yau compactifications of M-theory. In the mid1980s, a decade after Lovelock proposed his generalization of the Einsteintensor, the physicists began to discuss the quadratic Gauss–Bonnet term ofLovelock action within the context of string theory, with particularattention on its property of being free of ghost about the Minkowski space.The theory is known to be free of ghosts about other exact backgrounds aswell, e.g. about one of the branches of its spherically symmetric solutionfound by Boulware and Deser in 1985. In general, Lovelock's theoryrepresents a very interesting scenario to study how the physics of gravityresults corrected at short distance due to the presence of higher ordercurvature terms in the action, and in the mid 2000s the theory wasconsidered as a testing ground to investigate the effects of introducinghigher-curvature terms in the context of AdS/CFT correspondence.".
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- Lovelock_theory_of_gravity subject Category:Spacetime.
- Lovelock_theory_of_gravity subject Category:String_theory.
- Lovelock_theory_of_gravity subject Category:Theories_of_gravitation.
- Lovelock_theory_of_gravity type Abstraction100002137.
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- Lovelock_theory_of_gravity type Thinking105770926.
- Lovelock_theory_of_gravity comment "In physics, Lovelock's theory of gravity (often referred to as Lovelock gravity) is a generalization of Einstein's theory of general relativity introduced by David Lovelock in 1971. It is the most general metric theory of gravity yielding conserved second order equations of motion in arbitrary number of spacetime dimensions . In this sense, Lovelock's theory is the natural generalization of Einstein's General Relativity to higher dimensions.".
- Lovelock_theory_of_gravity label "Lovelock theory of gravity".
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