On asymptotically flat solutions of Einstein's equations periodic in time: II. Spacetimes with scalar-field sources

Bičák, Jiřı́; Scholtz, Martin; Paul, Thierry

doi:10.1088/0264-9381/27/17/175011

Cited by 20 publications

(31 citation statements)

References 16 publications

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“…This time-dependent self-gravitating object is called a gravitational geon, short for gravitational-electromagnetic entity, which was introduced by Wheeler [5]. Although a gravitational geon can be constructed in asymptotically flat spacetimes [6,7], the geon is not exactly periodic in time [8][9][10][11][12][13][14][15] and it has a finite lifetime. However, the instability of geons could be remedied in asymptotically anti-de Sitter (AdS) spacetimes since the AdS boundary can confine particles and waves as in a box.…”

Section: Introductionmentioning

confidence: 99%

Massive graviton geons

et al. 2018

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We find vacuum solutions such that massive gravitons are confined in a local spacetime region by their gravitational energy in asymptotically flat spacetimes in the context of the bigravity theory. We call such self-gravitating objects massive graviton geons. The basic equations can be reduced to the Schrödinger-Poisson equations with the tensor "wavefunction" in the Newtonian limit. We obtain a non-spherically symmetric solution with j = 2, ℓ = 0 as well as a spherically symmetric solution with j = 0, ℓ = 2 in this system where j is the total angular momentum quantum number and ℓ is the orbital angular momentum quantum number, respectively. The energy eigenvalue of the Schrödinger equation in the non-spherical solution is smaller than that in the spherical solution. We then study the perturbative stability of the spherical solution and find that there is an unstable mode in the quadrupole mode perturbations which may be interpreted as the transition mode to the non-spherical solution. The results suggest that the non-spherically symmetric solution is the ground state of the massive graviton geon. The massive graviton geons may decay in time due to emissions of gravitational waves but this timescale can be quite long when the massive gravitons are non-relativistic and then the geons can be long-lived. We also argue possible prospects of the massive graviton geons: applications to the ultralight dark matter scenario, nonlinear (in)stability of the Minkowski spacetime, and a quantum transition of the spacetime.

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Section: Introductionmentioning

confidence: 99%

Massive graviton geons

et al. 2018

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“…10, we have shown that the result (1) remains true for the spacetimes with conformally invariant scalar field sources. In the presence of the massless Klein-Gordon scalar field, however, the scalar field contributes to the Bondi energy and the correct expression for the Bondi mass (energy) is (in the conventions used in this paper)…”

Section: Introductionmentioning

confidence: 67%

“…As we have shown in Ref. 10, in the case of massless Klein-Gordon field, the mass-loss formula acquires the forṁ…”

Section: Introductionmentioning

confidence: 68%

On the Bondi mass of Maxwell-Klein-Gordon spacetimes

Scholtz

2017

The Fourteenth Marcel Grossmann Meeting

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In this short contribution we calculate the Bondi mass of asymptotically flat spacetimes with interacting electromagnetic and scalar fields. We present the system of coupled Einstein-Maxwell-Klein-Gordon equations in the spinor form and show final expressions for the Bondi mass and corresponding mass-loss formula. Details of the calculations, including the full set of the Newman-Penrose equations for the system considered, can be found in Ref. 11.

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“…After the pioneer work [9] on real scalar fields with the simplest form of potential, a couple of related discussions [10,11,12] appeared only recently. These, however, are focused solely on very specific cases of stationary spacetimes and the inheritance of time invariance.…”

Section: Imperfect Accordance Of Spacetime and Fieldsmentioning

confidence: 99%

Symmetry inheritance of scalar fields

Smolić

2015

Class. Quantum Grav.

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Abstract. Matter fields don't necessarily have to share the symmetries with the spacetime they live in. When this happens, we speak of the symmetry inheritance of fields. In this paper we classify the obstructions of symmetry inheritance by the scalar fields, both real and complex, and look more closely at the special cases of stationary and axially symmetric spacetimes. Since the symmetry noninheritance is present in the scalar fields of boson stars and may enable the existence of the black hole scalar hair, our results narrow the possible classes of such solutions. Finally, we define and analyse the symmetry noninheritance contributions to Komar mass and angular momentum of the black hole scalar hair. Keywords: scalar fields, symmetry inheritance, no-hair theorems, boson stars Imperfect accordance of spacetime and fieldsThe simplest version of a relativistic theory is modeled by matter fields on a fixed, possibly curved spacetime. From the perspective of general theory of relativity, such fields can be considered as mere test fields since they don't participate in gravitational field equations and thus do not affect the spacetime itself. Hence, it doesn't come as a surprise that it is not necessary for such fields to have the same symmetries as the background spacetime. For example, in a typical relativistic course we shall encounter scalar fields (solutions to Klein-Gordon equation) and electromagnetic fields (solutions to Maxwell's equations) which come in various shapes and forms, possessing more or less symmetries, in a sheer contrast with the underlying Minkowski spacetime, which is maximally symmetric.On the other hand, if we don't neglect the backreaction of the matter fields on the spacetime and look at the exact solutions to the gravitational field equations,

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On asymptotically flat solutions of Einstein's equations periodic in time: II. Spacetimes with scalar-field sources

Cited by 20 publications

References 16 publications

Massive graviton geons

Massive graviton geons

On the Bondi mass of Maxwell-Klein-Gordon spacetimes

Symmetry inheritance of scalar fields

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