Geodesic motion in the space-time of a cosmic string

Betti Hartmann; Parinya Sirimachan

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Geodesic motion in the space-time of a cosmic string

Betti Hartmann, Parinya Sirimachan

General Relativity and Quantum Cosmology · Submitted 6 Jul 2010

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We observe that bound orbits of massive particles are only possible if the Higgs boson mass is smaller than the gauge boson mass, while massless particles always move on escape orbits.

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What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.35 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.47 · compares with prior results 0.05 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We study the geodesic equation in the space-time of an Abelian-Higgs string and discuss the motion of massless and massive test particles. The geodesics can be classified according to the particles energy, angular momentum and linear momentum along the string axis. We observe that bound orbits of massive particles are only possible if the Higgs boson mass is smaller than the gauge boson mass, while massless particles always move on escape orbits. Moreover, neither massive nor massless particles can ever reach the string axis for non-vanishing angular momentum. We also discuss the dependence of light deflection by a cosmic string as well as the perihelion shift of bound orbits of massive particles on the ratio between Higgs and gauge boson mass and the ratio between symmetry breaking scale and Planck mass, respectively.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study the geodesic equation in the space-time of an Abelian-Higgs string and discuss the motion of massless and massive test particles.	contribution 1.00	0.93	0.05	asserted 0.68
s1	The geodesics can be classified according to the particles energy, angular momentum and linear momentum along the string axis.	method 0.53	0.67	0.06	asserted 0.94
s2	We observe that bound orbits of massive particles are only possible if the Higgs boson mass is smaller than the gauge boson mass, while massless particles always move on escape orbits.	result 1.00	0.91	0.53	asserted 0.96
s3	Moreover, neither massive nor massless particles can ever reach the string axis for non-vanishing angular momentum.	result 1.00	0.88	0.20	asserted 1.00
s4	We also discuss the dependence of light deflection by a cosmic string as well as the perihelion shift of bound orbits of massive particles on the ratio between Higgs and gauge boson mass and the ratio between symmetry breaking scale and Planck mass, respectively.	contribution 0.87	0.84	0.09	asserted 0.82

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

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Original abstract

We study the geodesic equation in the space-time of an Abelian-Higgs string and discuss the motion of massless and massive test particles. The geodesics can be classified according to the particles energy, angular momentum and linear momentum along the string axis. We observe that bound orbits of massive particles are only possible if the Higgs boson mass is smaller than the gauge boson mass, while massless particles always move on escape orbits. Moreover, neither massive nor massless particles can ever reach the string axis for non-vanishing angular momentum. We also discuss the dependence of light deflection by a cosmic string as well as the perihelion shift of bound orbits of massive particles on the ratio between Higgs and gauge boson mass and the ratio between symmetry breaking scale and Planck mass, respectively.

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7 arXiv papers cite this in 10 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 1 sentence without a confident label

Uses its method or tool 3 papers

With the aim to study the motion of massive neutral particles around the GMGHS black hole, we first derive the geodesic equations following the same approach given in [ref] .

Massive neutral particles on heterotic string theory · Time-like geodesics · 1.00
For the calculation of the observables analogous formulas to those given in [ref] can be used.

Analytical solutions of the geodesic equation in the spacetime of a black hole in f(R) gravity · CONCLUSIONS · 0.91
However, they may be solved numerically similar to applied methods in Ref. [ref] .

A study of geodesic motion in a (2+1)-dimensional charged BTZ black hole · Comparision to other cases of paremeter $s$ · 0.94

Cites it as background 5 papers

For more details on the construction of such solution see e.g. [ref] .

Analytical solutions of the geodesic equation in the spacetime of a black hole in f(R) gravity · The orbits · 0.81
Furthermore, the geodesic motion of test particles in field theoretical cosmic string spacetimes were investigated, namely Abelian-Higgs strings [ref] , two interacting Abelian-Higgs strings [ref] and cosmic superstrings [ref] .

Geodesic motion in the (rotating) black string spacetime · Introduction · 0.88
Here we can mention the works of Maki & Shiraishi [ref] , Hackmann et al. [ref] , Hartmann & Sirimachan [ref] and Bhadra [ref] , among other authors.

Gravitational Rutherford scattering and Keplerian orbits for electrically charged bodies in heterotic string theory · Introduction · 0.98

What it cites · 6 sentences without a confident label

Compares with 2 papers

However, this type of encirclement has already been observed in the space–time of a Schwarzschild black hole and Kerr black hole, respectively pierced by an infinitely thin cosmic string for sufficiently large deficit angle [ref] .

The complete set of solutions of the geodesic equations in the space-time of a Schwarzschild black hole pierced by a cosmic string · Massive particles $ε=1$ · 0.90
However, this type of encirclement has already been observed in the space–time of a Schwarzschild black hole and Kerr black hole, respectively pierced by an infinitely thin cosmic string for sufficiently large deficit angle [ref] .

Test particle motion in the space-time of a Kerr black hole pierced by a cosmic string · Massive particles $ε=1$ · 0.90

Cites as background 4 papers

It would also be interesting to study geodesic motion in the space–time of a semilocal string [ref] , which is a solution of the electroweak model with gauge group SU(2)$×$ U(1) in the limit where the Weinberg angle $θ_W=π/2$.

Gravitating Semilocal strings · Conclusions · 0.83
It would also be interesting to study geodesic motion in the space–time of a semilocal string [ref] , which is a solution of the electroweak model with gauge group SU(2)$×$ U(1) in the limit where the Weinberg angle $θ_W=π/2$.

Semilocal Topological Defects · Conclusions · 0.83
Moreover, field theoretical models describing so–called $p$–$q$–strings have been studied recently [ref] . $p$–$q$–strings are supersymmetric bound states of $F$– and $D$–strings and provide one of the examples of strings that might have formed in inflationary models resulting from string theory.

Gravitating (field theoretical) cosmic (p,q)-superstrings · Conclusions · 0.99

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