Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models | Paper Citation Record

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This paper cites First, we deﬁne the phas e space variables as: Q = φ k, P = ∂ L ∂ ˙φ k = K ˙φ k, (13) and obtain the Hamiltonian density H : H = 1 2 P2 K + 1 2 M2Q2.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models First, we deﬁne the phas e space variables as: Q = φ k, P = ∂ L ∂ ˙φ k = K ˙φ k, (13) and obtain the Hamiltonian density H : H = 1 2 P2 K + 1 2 M2Q2

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This paper cites Dark Energy vs. Modified Gravity.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Dark Energy vs. Modified Gravity

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This paper cites Also, as expected, the timescale of the instability is given by k−1 as the factor of a2 2 goes not affect the equations of motion in this case.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Also, as expected, the timescale of the instability is given by k−1 as the factor of a2 2 goes not affect the equations of motion in this case

Reference 6

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This paper cites These four exponen- tial terms will thus always lead an oscillatory behaviour wi th constant amplitudes.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models These four exponen- tial terms will thus always lead an oscillatory behaviour wi th constant amplitudes

Reference 7

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This paper cites Generalization of the Proca Action.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Generalization of the Proca Action

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This paper cites (42) Here x = ( m4 1 + 2m2 1(4D2 + m2.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models (42) Here x = ( m4 1 + 2m2 1(4D2 + m2

Reference 18

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This paper cites Also, we have deﬁned y = (4D2 + m2 1 + m2.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Also, we have deﬁned y = (4D2 + m2 1 + m2

Reference 19

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This paper cites This example generalizes the results found for a single ﬁeld in the previous section.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models This example generalizes the results found for a single ﬁeld in the previous section

Reference 21

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This paper cites (43) Here again the canonical transformation has allowed us to move a minus sign in the kinetic term of the action into the mass term of the action.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models (43) Here again the canonical transformation has allowed us to move a minus sign in the kinetic term of the action into the mass term of the action

Reference 22

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This paper cites (46) Here we see that depending on the relative size of D2 and m2 1,2, the negative signs will appear in different terms.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models (46) Here we see that depending on the relative size of D2 and m2 1,2, the negative signs will appear in different terms

Reference 23

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This paper cites If D2 is larger than one of the masses but not the other then we would have a mix of ghosts and tachyons that would likewise correspond to unstable solutions in eq.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models If D2 is larger than one of the masses but not the other then we would have a mix of ghosts and tachyons that would likewise correspond to unstable solutions in eq

Reference 24

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This paper cites In this case, we see that the two initial ghosts appear now as two gradients.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models In this case, we see that the two initial ghosts appear now as two gradients

Reference 27

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This paper cites (48) Now x = ( −2m2 1 ( 4D2 + m2 2 ) + ( m2 2 − 4D2)2 + m4 1 )1/2 , y = (4D2 − m2 1 + m2.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models (48) Now x = ( −2m2 1 ( 4D2 + m2 2 ) + ( m2 2 − 4D2)2 + m4 1 )1/2 , y = (4D2 − m2 1 + m2

Reference 28

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This paper cites However, in eq.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models However, in eq

Reference 29

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This paper cites (49) In this case, we ﬁnd that the high-energy limit gives us an unstable solution with two ghosts.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models (49) In this case, we ﬁnd that the high-energy limit gives us an unstable solution with two ghosts

Reference 31

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This paper cites After- wards, we study the sign of the kinetic K1,2(t, k) and mass m1,2(t, k) terms in the low and high-energy regimes, while studying also the behaviour of the interaction term D.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models After- wards, we study the sign of the kinetic K1,2(t, k) and mass m1,2(t, k) terms in the low and high-energy regimes, while studying also the behaviour of the interaction term D

Reference 34

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This paper cites (A.1) A ≡ a2 2 ( c2 2 ( D2 + k2m2 1 )( D2 + k1m2 2 ) + c2 1k1m2 1 ) + 2a1a2c1c2D2 + a2 1 ( c2 2k2m2 2 + c2 1 ).

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models (A.1) A ≡ a2 2 ( c2 2 ( D2 + k2m2 1 )( D2 + k1m2 2 ) + c2 1k1m2 1 ) + 2a1a2c1c2D2 + a2 1 ( c2 2k2m2 2 + c2 1 )

Reference 35

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This paper cites (A.4) They can be integrated by parts to bring them into an antisym- metric form as desired for the study of stability.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models (A.4) They can be integrated by parts to bring them into an antisym- metric form as desired for the study of stability

Reference 36

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This paper cites Planck 2018 results. VI. Cosmological parameters.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Planck 2018 results. VI. Cosmological parameters

Reference 37

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This paper cites Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask).

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)

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Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Modified Gravity and Cosmology

Reference 39

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Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Beyond the Cosmological Standard Model

Reference 40

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Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Cosmological Tests of Gravity

Reference 41

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Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Kodama and M

Reference 42

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Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Covariant Galileon

Reference 44

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This paper cites Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability

Reference 45

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This paper cites Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order

Reference 46

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This paper cites Modifying gravity with the Aether: an alternative to Dark Matter.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Modifying gravity with the Aether: an alternative to Dark Matter

Reference 47

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Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Resummation of Massive Gravity

Reference 48

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Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Bimetric Gravity from Ghost-free Massive Gravity

Reference 49

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This paper cites Ghost Condensation and a Consistent Infrared Modification of Gravity.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Ghost Condensation and a Consistent Infrared Modification of Gravity

Reference 50

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Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models No de Sitter invariant vacuum in massive gravity theory with ghost

Reference 51

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This paper cites Living with ghosts in Lorentz invariant theories.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Living with ghosts in Lorentz invariant theories

Reference 52

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This paper cites Classical and quantum ghosts.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Classical and quantum ghosts

Reference 53

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This paper cites A spectre is haunting the cosmos: Quantum stability of massive gravity with ghosts.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models A spectre is haunting the cosmos: Quantum stability of massive gravity with ghosts

Reference 54

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:35:13.958842Z

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This paper cites The Effective Field Theory of Inflation.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models The Effective Field Theory of Inflation

Reference 55

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This paper cites The Effective Theory of Quintessence: the w<-1 Side Unveiled.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models The Effective Theory of Quintessence: the w<-1 Side Unveiled

Reference 56

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This paper cites Conditions for the cosmological viability of the most general scalar-tensor theories and their applications to extended Galileon dark energy models.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Conditions for the cosmological viability of the most general scalar-tensor theories and their applications to extended Galileon dark energy models

Reference 57

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This paper cites The Effective Field Theory of Dark Energy.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models The Effective Field Theory of Dark Energy

Reference 58

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This paper cites Dark Energy or Modified Gravity? An Effective Field Theory Approach.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Dark Energy or Modified Gravity? An Effective Field Theory Approach

Reference 59

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This paper cites Essential Building Blocks of Dark Energy.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Essential Building Blocks of Dark Energy

Reference 60

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This paper cites Phenomenology of dark energy: exploring the space of theories with future redshift surveys.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Phenomenology of dark energy: exploring the space of theories with future redshift surveys

Reference 61

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This paper cites Effective field theory approach to modified gravity including Horndeski theory and Ho\v{r}ava-Lifshitz gravity.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Effective field theory approach to modified gravity including Horndeski theory and Ho\v{r}ava-Lifshitz gravity

Reference 62

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This paper cites Stable and unstable cosmological models in bimetric massive gravity.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Stable and unstable cosmological models in bimetric massive gravity

Reference 63

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Observation 80e154f9-f0fc-45d9-8ab5-1c3cfff83480 · outbound

This paper cites Effective Theory of Interacting Dark Energy.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Effective Theory of Interacting Dark Energy

Reference 64

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Observation fb53f591-a366-47e3-99cd-e74954f2e70f · outbound

This paper cites Higuchi Ghosts and Gradient Instabilities in Bimetric Gravity.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Higuchi Ghosts and Gradient Instabilities in Bimetric Gravity

Reference 65

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:35:13.726017Z

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This paper cites Effective gravitational couplings for cosmological perturbations in generalized Proca theories.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Effective gravitational couplings for cosmological perturbations in generalized Proca theories

Reference 66

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This paper cites On the stability conditions for theories of modified gravity in presence of matter fields.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models On the stability conditions for theories of modified gravity in presence of matter fields

Reference 67

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This paper cites Weakening Gravity on Redshift-Survey Scales with Kinetic Matter Mixing.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Weakening Gravity on Redshift-Survey Scales with Kinetic Matter Mixing

Reference 68

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This paper cites An Extended action for the effective field theory of dark energy: a stability analysis and a complete guide to the mapping at the basis of EFTCAMB.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models An Extended action for the effective field theory of dark energy: a stability analysis and a complete guide to the mapping at the basis of EFTCAMB

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-14T14:35:13.334476Z

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This paper cites Minimal theory of quasidilaton massive gravity.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Minimal theory of quasidilaton massive gravity

Reference 70

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:35:13.620956Z

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This paper cites A general theory of linear cosmological perturbations: stability conditions, the quasistatic limit and dynamics.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models A general theory of linear cosmological perturbations: stability conditions, the quasistatic limit and dynamics

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-14T14:35:13.345001Z

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Observation df4a9316-7b34-4ae8-8f1e-db3947b9b578 · outbound

This paper cites Cosmology in scalar-vector-tensor theories.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Cosmology in scalar-vector-tensor theories

Reference 72

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This paper cites The role of the tachyonic instability in Horndeski gravity.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models The role of the tachyonic instability in Horndeski gravity

Reference 73

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This paper cites Cosmological evolution in DHOST theories.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Cosmological evolution in DHOST theories

Reference 74

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Observation 61f959e1-0c97-45c6-9cc8-3dc5c28a313e · outbound

This paper cites Effective Field Theory of Dark Energy: a Review.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Effective Field Theory of Dark Energy: a Review

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-14T14:35:13.366682Z

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This paper cites Effective Field Theory of Cosmic Acceleration: an implementation in CAMB.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Effective Field Theory of Cosmic Acceleration: an implementation in CAMB

Reference 76

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This paper cites hi_class: Horndeski in the Cosmic Linear Anisotropy Solving System.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models hi_class: Horndeski in the Cosmic Linear Anisotropy Solving System

Reference 77

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This paper cites Jeans' Ghost.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Jeans' Ghost

Reference 78

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:35:13.471107Z

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This paper cites an unresolved cited work.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Unresolved cited work

Reference 79

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:35:14.315357Z

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Observation 6ce4a69f-411b-460b-9804-31425c14fda4 · outbound

This paper cites Theoretical Aspects of Cosmic Acceleration.

Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models Theoretical Aspects of Cosmic Acceleration

Reference 80

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:35:13.445218Z

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