119546147
Knots and links of nonabelian string
Abstract We consider a class of closed stringlike configurations, called essentially knotted , which occur in certain (3 + 1)-dimensional Yang-Mills-Higgs theories where a compact gauge group G breaks to a finite, nonabelian subgroup H. Such objects are labelled by more than one flux element in H, and cannot be deformed into the vacuum without overlapping the cores of two segments of string carrying noncommuting fluxes. Analogous results for multicomponent links of string are also given. Our analysis is performed within a general topological framework for discussing the knotting and linking of strings in spontaneously broken gauge theories.
117648248
Topics in Particle Physics
14856505
Weak-field gravity of circular cosmic strings.
A weak-field solution of Einstein's equations is constructed. It is generated by a circular cosmic string externally supported against collapse. The solution exhibits a conical singularity, and the corresponding deficit angle is the same as for a straight string for the same linear energy density. This confirms the deficit-angle assumption made in the Frolov-Israel-Unruh derivation of the metric describing a string loop at a moment of time symmetry.
14821200
RINGS AND BALLS
We examine the various linkings in space-time of “ball-like” and “ring-like” topological solitons in certain nonlinear sigma models in 2+1 and 3+1 dimensions. By going to theories where soliton overlaps are forbidden, these linkings become homotopically nontrivial and can be studied by investigating the topology of the corresponding configuration spaces. Our analysis reveals the existence of topological terms which give the linking number of the world tubes of distinct species of ball solitons in 2+1 dimensions, or which in 3+1 dimensions count the number of times a ball or ring soliton threads through the center of a ring of a different species. We explicitly construct these terms for our models, and generalize them to cases where soliton overlaps are no longer strictly forbidden so the terms are no longer purely topological. One of the (3+1)-dimensional theories we consider also has topological solitons which consist of two rings (of distinct species) linked in space.
15202727
AGAPEROS: Searching for variable stars in the LMC Bar with the Pixel Method - I. Detection, astrometry and cross-identification
We extend the work developed in previous pa- pers on microlensing with a selection of variable stars. We use the Pixel Method to select variable stars on a set of 2.5 10 6 pixel light curves in the LMC Bar presented elsewhere. The previous treatment was done in order to optimise the detection of long timescale variations (larger than a few days) and we further optimise our analysis for the selection of Long Timescale and Long Period Variables (LT&LPV). We choose to perform a selection of variable objects as comprehensive as possible, independent of pe- riodicity and of their position on the colour magnitude diagram. We detail the dierent thresholds successively applied to the light curves, which allow to produce a cat- alogue of 632 variable objects. We present a table with the coordinate of each variable, its EROS magnitudes at one epoch and an indicator of blending in both colours, together with a nding chart. A cross-correlation with various catalogues shows that 90% of those variable objects were undetected before, thus enlarging the sample of LT&LPV previously known in this area by a factor of 10. Due to the limitations of both the Pixel Method and the data set, additional data { namely a longer baseline and near infrared photometry { are re- quired to further characterise these variable stars, as will be addressed in subsequent papers.
18478061
Sort of) Testing relativity with extreme mass ratio inspirals
The inspirals of “small” (1 – 100 M⊙) compact bodies through highly relativistic orbits of massive (several × 105 M⊙ − several × 106 M⊙) black holes are among the most anticipated sources for the LISA gravitational‐wave antenna. The measurement of these waves is expected to map the spacetime of the larger body with high precision, allowing us to test in detail the hypothesis that black hole candidates are described by the Kerr metric of general relativity. In this article, we will briefly describe how these sources can be used to perform such a test. These proposed measurements are often described as “testing relativity”. This description is at best somewhat glib: Because — at least to date — all work related to these measurements assumes general relativity as the theoretical framework in which these tests are performed, the measurements cannot be said to “test relativity” in a fundamental way. More accurately, they test the nature of massive compact bodies within general relativity. A surprising result f...
78089676
Spacetime and orbits of bumpy black holes
Our Universe contains a great number of extremely compact and massive objects which are generally accepted to be black holes. Precise observations of orbital motion near candidate black holes have the potential to determine if they have the spacetime structure that general relativity demands. As a means of formulating measurements to test the black hole nature of these objects, Collins and Hughes introduced ''bumpy black holes'': objects that are almost, but not quite, general relativity's black holes. The spacetimes of these objects have multipoles that deviate slightly from the black hole solution, reducing to black holes when the deviation is zero. In this paper, we extend this work in two ways. First, we show how to introduce bumps which are smoother and lead to better behaved orbits than those in the original presentation. Second, we show how to make bumpy Kerr black holes--objects which reduce to the Kerr solution when the deviation goes to zero. This greatly extends the astrophysical applicability of bumpy black holes. Using Hamilton-Jacobi techniques, we show how a spacetime's bumps are imprinted on orbital frequencies, and thus can be determined by measurements which coherently track the orbital phase of a small orbiting body. We find thatmore » in the weak field, orbits of bumpy black holes are modified exactly as expected from a Newtonian analysis of a body with a prescribed multipolar structure, reproducing well-known results from the celestial mechanics literature. The impact of bumps on strong-field orbits is many times greater than would be predicted from a Newtonian analysis, suggesting that this framework will allow observations to set robust limits on the extent to which a spacetime's multipoles deviate from the black hole expectation.« less
125753676
Gravitational-wave standard candles
9530657
The basics of gravitational wave theory
Einstein's special theory of relativity revolutionized physics by teaching us that space and time are not separate entities, but join as 'spacetime'. His general theory of relativity further taught us that spacetime is not just a stage on which dynamics takes place, but is a participant: the field equation of general relativity connects matter dynamics to the curvature of spacetime. Curvature is responsible for gravity, carrying us beyond the Newtonian conception of gravity that had been in place for the previous two and a half centuries. Much research in gravitation since then has explored and clarified the consequences of this revolution; the notion of dynamical spacetime is now firmly established in the toolkit of modern physics. Indeed, this notion is so well established that we may now contemplate using spacetime as a tool for other sciences. One aspect of dynamical spacetime—its radiative character, 'gravitational radiation'—will inaugurate entirely new techniques for observing violent astrophysical processes. Over the next 100 years, much of this subject's excitement will come from learning how to exploit spacetime as a tool for astronomy. This paper is intended as a tutorial in the basics of gravitational radiation physics.