How quantizable matter gravitates: A practitioner’s guide

Schüller, F.; Witte, Christof

doi:10.1103/physrevd.89.104061

Cited by 11 publications

(17 citation statements)

References 12 publications

(26 reference statements)

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“…However, it stays unclear what that means for the backreaction of particles on the gravitational field. A possible way to the corresponding Einstein equations was presented in [21], however, only for very special cases solutions where derived [22].…”

Section: Discussionmentioning

confidence: 99%

Gravitational properties of light—the gravitational field of a laser pulse

2016

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The gravitational field of a laser pulse of finite lifetime, is investigated in the framework of linearized gravity. Although the effects are very small, they may be of fundamental physical interest. It is shown that the gravitational field of a linearly polarized light pulse is modulated as the norm of the corresponding electric field strength, while no modulations arise for circular polarization. In general, the gravitational field is independent of the polarization direction. It is shown that all physical effects are confined to spherical shells expanding with the speed of light, and that these shells are imprints of the spacetime events representing emission and absorption of the pulse. Nearby test particles at rest are attracted towards the pulse trajectory by the gravitational field due to the emission of the pulse, and they are repelled from the pulse trajectory by the gravitational field due to its absorption. Examples are given for the size of the attractive effect. It is recovered that massless test particles do not experience any physical effect if they are co-propagating with the pulse, and that the acceleration of massless test particles counter-propagating with respect to the pulse is four times stronger than for massive particles at rest. The similarities between the gravitational effect of a laser pulse and Newtonian gravity in two dimensions are pointed out. The spacetime curvature close to the pulse is compared to that induced by gravitational waves from astronomical sources.

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Section: Discussionmentioning

confidence: 99%

Gravitational properties of light—the gravitational field of a laser pulse

2016

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“…Some other aspects of the causality in bimetric theory have been investigated in [30][31][32][33][34][35]. The causal structure appearing in the proof of Proposition 1 can be related with the analysis of Schuller et al [36,37], who studied gravitational dynamics and partial differential equations for arbitrary tensorial spacetimes carrying predictive, interpretable, and quantizable matter. These three requirements can be translated into the corresponding algebraic conditions on the underlying geometry, which state that the geometry must be bi-hyperbolic, time-orientable, and energy-distinguishing.…”

Section: Discussionmentioning

confidence: 98%

Causal propagation of constraints in bimetric relativity in standard 3+1 form

Kocic

2019

J. High Energ. Phys.

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The goal of this work was to investigate the propagation of the constraints in the ghost-free bimetric theory where the evolution equations are in standard 3+1 form. It is established that the constraints evolve according to a first-order symmetric hyperbolic system whose characteristic cone consists of the null cones of the two metrics. Consequently, the constraint evolution equations are well-posed, and the constraints stably propagate.

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“…Secondly, we perform the projection of the spacetime geometry G to several one-parameter families of tensors on Σ, which is an important intermediate step towards setting up the gravitational closure equations for any (M, G, P ). Their components are practically obtained [11] by inserting either the frame field e 0 (t , σ) or e α (t, σ) into a slot of G that requires a vector, and correspondingly either 0 (t, σ) or α (t, σ) into a slot that requires a covector.…”

Section: A Spacetime Foliation and Induced Geometrymentioning

confidence: 99%

Gravitational closure of matter field equations

et al. 2018

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The requirement that both the matter and the geometry of a spacetime canonically evolve together, starting and ending on shared Cauchy surfaces and independently of the intermediate foliation, leaves one with little choice for diffeomorphism-invariant gravitational dynamics that can provide consistent evolution equations to the coefficients of a given system of matter field equations. Concretely, we show how starting from any linear local matter field equations whose principal polynomial satisfies three physicality conditions, one may calculate coefficient functions which then enter an otherwise immutable set of countably many linear homogeneous partial differential equations.Any solution of these so-called gravitational closure equations then provides a Lagrangian density for any type of tensorial geometry that features ultralocally in the initially specified matter Lagrangian density. Thus the given system of matter field equations is indeed closed by the so obtained gravitational equations. In contrast to previous work, we build the theory on a suitable associated bundle encoding the canonical configuration degrees of freedom, which allows to include necessary constraints on the geometry in practically tractable fashion. By virtue of the presented mechanism, one thus can practically calculate, rather than having to postulate, the gravitational theory that is required by specific matter field dynamics. For the special case of standard model matter one obtains general relativity. a Corresponding author. Electronic address fps@aei.mpg.de 1 arXiv:1611.08878v3 [gr-qc]

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How quantizable matter gravitates: A practitioner’s guide

Cited by 11 publications

References 12 publications

Gravitational properties of light—the gravitational field of a laser pulse

Gravitational properties of light—the gravitational field of a laser pulse

Causal propagation of constraints in bimetric relativity in standard 3+1 form

Gravitational closure of matter field equations

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